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Finding the Fourth Proportional to 77,148.48, 115,722.72 and 24,558

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Solution

The fourth proportional to 77,148.48, 115,722.72 and 24,558 is: 36,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,148.48 : 115,722.72 = 24,558 : x
  2. Step 2: Convert to fraction form
    77,148.48/115,722.72 = 24,558/x
  3. Step 3: Cross multiply
    77,148.48x = 115,722.72 × 24,558
  4. Step 4: Simplify right side
    77,148.48x = 2,841,918,557.76
  5. Step 5: Solve for x
    x = 2,841,918,557.76/77,148.48
  6. Step 6: Final answer
    x = 36,837.00

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Why These Related Problems?

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