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Finding the Fourth Proportional to 75,657.60, 114,052.96 and 70,583.04

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Solution

The fourth proportional to 75,657.60, 114,052.96 and 70,583.04 is: 106,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,657.60 : 114,052.96 = 70,583.04 : x
  2. Step 2: Convert to fraction form
    75,657.60/114,052.96 = 70,583.04/x
  3. Step 3: Cross multiply
    75,657.60x = 114,052.96 × 70,583.04
  4. Step 4: Simplify right side
    75,657.60x = 8,050,204,637.80
  5. Step 5: Solve for x
    x = 8,050,204,637.80/75,657.60
  6. Step 6: Final answer
    x = 106,403.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.