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Finding the Fourth Proportional to 74,527.52, 111,767.56 and 24,598.32

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Solution

The fourth proportional to 74,527.52, 111,767.56 and 24,598.32 is: 36,889.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,527.52 : 111,767.56 = 24,598.32 : x
  2. Step 2: Convert to fraction form
    74,527.52/111,767.56 = 24,598.32/x
  3. Step 3: Cross multiply
    74,527.52x = 111,767.56 × 24,598.32
  4. Step 4: Simplify right side
    74,527.52x = 2,749,294,206.50
  5. Step 5: Solve for x
    x = 2,749,294,206.50/74,527.52
  6. Step 6: Final answer
    x = 36,889.65

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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.