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Finding the Fourth Proportional to 131,877.57, 197,813.57 and 32,038.23

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Solution

The fourth proportional to 131,877.57, 197,813.57 and 32,038.23 is: 48,056.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,877.57 : 197,813.57 = 32,038.23 : x
  2. Step 2: Convert to fraction form
    131,877.57/197,813.57 = 32,038.23/x
  3. Step 3: Cross multiply
    131,877.57x = 197,813.57 × 32,038.23
  4. Step 4: Simplify right side
    131,877.57x = 6,337,596,492.59
  5. Step 5: Solve for x
    x = 6,337,596,492.59/131,877.57
  6. Step 6: Final answer
    x = 48,056.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.