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Finding the Fourth Proportional to 99,077.76, 148,639.86 and 32,523.30

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Solution

The fourth proportional to 99,077.76, 148,639.86 and 32,523.30 is: 48,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,077.76 : 148,639.86 = 32,523.30 : x
  2. Step 2: Convert to fraction form
    99,077.76/148,639.86 = 32,523.30/x
  3. Step 3: Cross multiply
    99,077.76x = 148,639.86 × 32,523.30
  4. Step 4: Simplify right side
    99,077.76x = 4,834,258,758.74
  5. Step 5: Solve for x
    x = 4,834,258,758.74/99,077.76
  6. Step 6: Final answer
    x = 48,792.57

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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.