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Finding the Fourth Proportional to 54,918, 75,798.18 and 31,045.68

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Solution

The fourth proportional to 54,918, 75,798.18 and 31,045.68 is: 42,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,918 : 75,798.18 = 31,045.68 : x
  2. Step 2: Convert to fraction form
    54,918/75,798.18 = 31,045.68/x
  3. Step 3: Cross multiply
    54,918x = 75,798.18 × 31,045.68
  4. Step 4: Simplify right side
    54,918x = 2,353,206,040.86
  5. Step 5: Solve for x
    x = 2,353,206,040.86/54,918
  6. Step 6: Final answer
    x = 42,849.45

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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.