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Finding the Fourth Proportional to 98,598.40, 147,919.20 and 32,027.20

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Solution

The fourth proportional to 98,598.40, 147,919.20 and 32,027.20 is: 48,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,598.40 : 147,919.20 = 32,027.20 : x
  2. Step 2: Convert to fraction form
    98,598.40/147,919.20 = 32,027.20/x
  3. Step 3: Cross multiply
    98,598.40x = 147,919.20 × 32,027.20
  4. Step 4: Simplify right side
    98,598.40x = 4,737,437,802.24
  5. Step 5: Solve for x
    x = 4,737,437,802.24/98,598.40
  6. Step 6: Final answer
    x = 48,047.82

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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.