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Finding the Fourth Proportional to 53,416.71, 73,712.07 and 29,212.86

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Solution

The fourth proportional to 53,416.71, 73,712.07 and 29,212.86 is: 40,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,416.71 : 73,712.07 = 29,212.86 : x
  2. Step 2: Convert to fraction form
    53,416.71/73,712.07 = 29,212.86/x
  3. Step 3: Cross multiply
    53,416.71x = 73,712.07 × 29,212.86
  4. Step 4: Simplify right side
    53,416.71x = 2,153,340,381.22
  5. Step 5: Solve for x
    x = 2,153,340,381.22/53,416.71
  6. Step 6: Final answer
    x = 40,312.11

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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.