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Finding the Fourth Proportional to 58,205.76, 87,308.64 and 27,024

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Solution

The fourth proportional to 58,205.76, 87,308.64 and 27,024 is: 40,536

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,205.76 : 87,308.64 = 27,024 : x
  2. Step 2: Convert to fraction form
    58,205.76/87,308.64 = 27,024/x
  3. Step 3: Cross multiply
    58,205.76x = 87,308.64 × 27,024
  4. Step 4: Simplify right side
    58,205.76x = 2,359,428,687.36
  5. Step 5: Solve for x
    x = 2,359,428,687.36/58,205.76
  6. Step 6: Final answer
    x = 40,536

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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.