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Finding the Fourth Proportional to 42,154.16, 58,180.90 and 27,065.90

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Solution

The fourth proportional to 42,154.16, 58,180.90 and 27,065.90 is: 37,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,154.16 : 58,180.90 = 27,065.90 : x
  2. Step 2: Convert to fraction form
    42,154.16/58,180.90 = 27,065.90/x
  3. Step 3: Cross multiply
    42,154.16x = 58,180.90 × 27,065.90
  4. Step 4: Simplify right side
    42,154.16x = 1,574,718,421.31
  5. Step 5: Solve for x
    x = 1,574,718,421.31/42,154.16
  6. Step 6: Final answer
    x = 37,356.18

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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.