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Finding the Fourth Proportional to 98,657.10, 147,985.65 and 36,351.90

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Solution

The fourth proportional to 98,657.10, 147,985.65 and 36,351.90 is: 54,527.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,657.10 : 147,985.65 = 36,351.90 : x
  2. Step 2: Convert to fraction form
    98,657.10/147,985.65 = 36,351.90/x
  3. Step 3: Cross multiply
    98,657.10x = 147,985.65 × 36,351.90
  4. Step 4: Simplify right side
    98,657.10x = 5,379,559,550.24
  5. Step 5: Solve for x
    x = 5,379,559,550.24/98,657.10
  6. Step 6: Final answer
    x = 54,527.85

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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.