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Finding the Fourth Proportional to 82,402.68, 113,708.70 and 46,587.72

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Solution

The fourth proportional to 82,402.68, 113,708.70 and 46,587.72 is: 64,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,402.68 : 113,708.70 = 46,587.72 : x
  2. Step 2: Convert to fraction form
    82,402.68/113,708.70 = 46,587.72/x
  3. Step 3: Cross multiply
    82,402.68x = 113,708.70 × 46,587.72
  4. Step 4: Simplify right side
    82,402.68x = 5,297,429,077.16
  5. Step 5: Solve for x
    x = 5,297,429,077.16/82,402.68
  6. Step 6: Final answer
    x = 64,287.10

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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.