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Finding the Fourth Proportional to 47,777.29, 71,666.09 and 14,497.63

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Solution

The fourth proportional to 47,777.29, 71,666.09 and 14,497.63 is: 21,746.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,777.29 : 71,666.09 = 14,497.63 : x
  2. Step 2: Convert to fraction form
    47,777.29/71,666.09 = 14,497.63/x
  3. Step 3: Cross multiply
    47,777.29x = 71,666.09 × 14,497.63
  4. Step 4: Simplify right side
    47,777.29x = 1,038,988,025.55
  5. Step 5: Solve for x
    x = 1,038,988,025.55/47,777.29
  6. Step 6: Final answer
    x = 21,746.49

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