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Finding the Fourth Proportional to 29,294.47, 40,428.85 and 16,549.99

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Solution

The fourth proportional to 29,294.47, 40,428.85 and 16,549.99 is: 22,840.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294.47 : 40,428.85 = 16,549.99 : x
  2. Step 2: Convert to fraction form
    29,294.47/40,428.85 = 16,549.99/x
  3. Step 3: Cross multiply
    29,294.47x = 40,428.85 × 16,549.99
  4. Step 4: Simplify right side
    29,294.47x = 669,097,095.26
  5. Step 5: Solve for x
    x = 669,097,095.26/29,294.47
  6. Step 6: Final answer
    x = 22,840.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.