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Finding the Fourth Proportional to 55,687.50, 76,848.75 and 30,537

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Solution

The fourth proportional to 55,687.50, 76,848.75 and 30,537 is: 42,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,687.50 : 76,848.75 = 30,537 : x
  2. Step 2: Convert to fraction form
    55,687.50/76,848.75 = 30,537/x
  3. Step 3: Cross multiply
    55,687.50x = 76,848.75 × 30,537
  4. Step 4: Simplify right side
    55,687.50x = 2,346,730,278.75
  5. Step 5: Solve for x
    x = 2,346,730,278.75/55,687.50
  6. Step 6: Final answer
    x = 42,141.06

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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.