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Finding the Fourth Proportional to 102,139.89, 153,209.88 and 32,024.67

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Solution

The fourth proportional to 102,139.89, 153,209.88 and 32,024.67 is: 48,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,139.89 : 153,209.88 = 32,024.67 : x
  2. Step 2: Convert to fraction form
    102,139.89/153,209.88 = 32,024.67/x
  3. Step 3: Cross multiply
    102,139.89x = 153,209.88 × 32,024.67
  4. Step 4: Simplify right side
    102,139.89x = 4,906,495,847.74
  5. Step 5: Solve for x
    x = 4,906,495,847.74/102,139.89
  6. Step 6: Final answer
    x = 48,037.02

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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.