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Finding the Fourth Proportional to 81,057.60, 121,543.20 and 34,257.60

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Solution

The fourth proportional to 81,057.60, 121,543.20 and 34,257.60 is: 51,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,057.60 : 121,543.20 = 34,257.60 : x
  2. Step 2: Convert to fraction form
    81,057.60/121,543.20 = 34,257.60/x
  3. Step 3: Cross multiply
    81,057.60x = 121,543.20 × 34,257.60
  4. Step 4: Simplify right side
    81,057.60x = 4,163,778,328.32
  5. Step 5: Solve for x
    x = 4,163,778,328.32/81,057.60
  6. Step 6: Final answer
    x = 51,368.14

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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.