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Finding the Fourth Proportional to 99,321.53, 148,986.88 and 32,767.47

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Solution

The fourth proportional to 99,321.53, 148,986.88 and 32,767.47 is: 49,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,321.53 : 148,986.88 = 32,767.47 : x
  2. Step 2: Convert to fraction form
    99,321.53/148,986.88 = 32,767.47/x
  3. Step 3: Cross multiply
    99,321.53x = 148,986.88 × 32,767.47
  4. Step 4: Simplify right side
    99,321.53x = 4,881,923,038.87
  5. Step 5: Solve for x
    x = 4,881,923,038.87/99,321.53
  6. Step 6: Final answer
    x = 49,152.72

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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.