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Finding the Fourth Proportional to 53,414.34, 73,708.79 and 29,210.51

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Solution

The fourth proportional to 53,414.34, 73,708.79 and 29,210.51 is: 40,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,414.34 : 73,708.79 = 29,210.51 : x
  2. Step 2: Convert to fraction form
    53,414.34/73,708.79 = 29,210.51/x
  3. Step 3: Cross multiply
    53,414.34x = 73,708.79 × 29,210.51
  4. Step 4: Simplify right side
    53,414.34x = 2,153,070,832.79
  5. Step 5: Solve for x
    x = 2,153,070,832.79/53,414.34
  6. Step 6: Final answer
    x = 40,308.85

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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.