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Finding the Fourth Proportional to 127,730, 191,598.24 and 44,624

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Solution

The fourth proportional to 127,730, 191,598.24 and 44,624 is: 66,937.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,730 : 191,598.24 = 44,624 : x
  2. Step 2: Convert to fraction form
    127,730/191,598.24 = 44,624/x
  3. Step 3: Cross multiply
    127,730x = 191,598.24 × 44,624
  4. Step 4: Simplify right side
    127,730x = 8,549,879,861.76
  5. Step 5: Solve for x
    x = 8,549,879,861.76/127,730
  6. Step 6: Final answer
    x = 66,937.13

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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.