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Finding the Fourth Proportional to 51,534.90, 77,326.65 and 38,412.90

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Solution

The fourth proportional to 51,534.90, 77,326.65 and 38,412.90 is: 57,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,534.90 : 77,326.65 = 38,412.90 : x
  2. Step 2: Convert to fraction form
    51,534.90/77,326.65 = 38,412.90/x
  3. Step 3: Cross multiply
    51,534.90x = 77,326.65 × 38,412.90
  4. Step 4: Simplify right side
    51,534.90x = 2,970,340,873.79
  5. Step 5: Solve for x
    x = 2,970,340,873.79/51,534.90
  6. Step 6: Final answer
    x = 57,637.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.