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Finding the Fourth Proportional to 48,642.33, 72,957.02 and 13,585.53

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Solution

The fourth proportional to 48,642.33, 72,957.02 and 13,585.53 is: 20,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,642.33 : 72,957.02 = 13,585.53 : x
  2. Step 2: Convert to fraction form
    48,642.33/72,957.02 = 13,585.53/x
  3. Step 3: Cross multiply
    48,642.33x = 72,957.02 × 13,585.53
  4. Step 4: Simplify right side
    48,642.33x = 991,159,715.99
  5. Step 5: Solve for x
    x = 991,159,715.99/48,642.33
  6. Step 6: Final answer
    x = 20,376.49

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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.