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Finding the Fourth Proportional to 42,686.74, 58,909.32 and 23,827.51

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Solution

The fourth proportional to 42,686.74, 58,909.32 and 23,827.51 is: 32,882.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,686.74 : 58,909.32 = 23,827.51 : x
  2. Step 2: Convert to fraction form
    42,686.74/58,909.32 = 23,827.51/x
  3. Step 3: Cross multiply
    42,686.74x = 58,909.32 × 23,827.51
  4. Step 4: Simplify right side
    42,686.74x = 1,403,662,411.39
  5. Step 5: Solve for x
    x = 1,403,662,411.39/42,686.74
  6. Step 6: Final answer
    x = 32,882.87

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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.