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Finding the Fourth Proportional to 103,543.16, 155,275.42 and 36,970.88

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Solution

The fourth proportional to 103,543.16, 155,275.42 and 36,970.88 is: 55,442.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,543.16 : 155,275.42 = 36,970.88 : x
  2. Step 2: Convert to fraction form
    103,543.16/155,275.42 = 36,970.88/x
  3. Step 3: Cross multiply
    103,543.16x = 155,275.42 × 36,970.88
  4. Step 4: Simplify right side
    103,543.16x = 5,740,668,919.77
  5. Step 5: Solve for x
    x = 5,740,668,919.77/103,543.16
  6. Step 6: Final answer
    x = 55,442.28

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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.