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Finding the Fourth Proportional to 99,084, 148,648.64 and 32,529.76

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Solution

The fourth proportional to 99,084, 148,648.64 and 32,529.76 is: 48,802.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084 : 148,648.64 = 32,529.76 : x
  2. Step 2: Convert to fraction form
    99,084/148,648.64 = 32,529.76/x
  3. Step 3: Cross multiply
    99,084x = 148,648.64 × 32,529.76
  4. Step 4: Simplify right side
    99,084x = 4,835,504,583.53
  5. Step 5: Solve for x
    x = 4,835,504,583.53/99,084
  6. Step 6: Final answer
    x = 48,802.07

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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.