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Finding the Fourth Proportional to 32,122.70, 48,113.88 and 13,345.80

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Solution

The fourth proportional to 32,122.70, 48,113.88 and 13,345.80 is: 19,989.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.70 : 48,113.88 = 13,345.80 : x
  2. Step 2: Convert to fraction form
    32,122.70/48,113.88 = 13,345.80/x
  3. Step 3: Cross multiply
    32,122.70x = 48,113.88 × 13,345.80
  4. Step 4: Simplify right side
    32,122.70x = 642,118,219.70
  5. Step 5: Solve for x
    x = 642,118,219.70/32,122.70
  6. Step 6: Final answer
    x = 19,989.55

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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.