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Finding the Fourth Proportional to 53,585.94, 73,948.47 and 29,712

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Solution

The fourth proportional to 53,585.94, 73,948.47 and 29,712 is: 41,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,585.94 : 73,948.47 = 29,712 : x
  2. Step 2: Convert to fraction form
    53,585.94/73,948.47 = 29,712/x
  3. Step 3: Cross multiply
    53,585.94x = 73,948.47 × 29,712
  4. Step 4: Simplify right side
    53,585.94x = 2,197,156,940.64
  5. Step 5: Solve for x
    x = 2,197,156,940.64/53,585.94
  6. Step 6: Final answer
    x = 41,002.49

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