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Finding the Fourth Proportional to 100,599.48, 150,931.98 and 48,002.16

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Solution

The fourth proportional to 100,599.48, 150,931.98 and 48,002.16 is: 72,018.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,599.48 : 150,931.98 = 48,002.16 : x
  2. Step 2: Convert to fraction form
    100,599.48/150,931.98 = 48,002.16/x
  3. Step 3: Cross multiply
    100,599.48x = 150,931.98 × 48,002.16
  4. Step 4: Simplify right side
    100,599.48x = 7,245,061,053.08
  5. Step 5: Solve for x
    x = 7,245,061,053.08/100,599.48
  6. Step 6: Final answer
    x = 72,018.87

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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.