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Finding the Fourth Proportional to 76,452.80, 114,711.52 and 37,039.20

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Solution

The fourth proportional to 76,452.80, 114,711.52 and 37,039.20 is: 55,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,452.80 : 114,711.52 = 37,039.20 : x
  2. Step 2: Convert to fraction form
    76,452.80/114,711.52 = 37,039.20/x
  3. Step 3: Cross multiply
    76,452.80x = 114,711.52 × 37,039.20
  4. Step 4: Simplify right side
    76,452.80x = 4,248,822,931.58
  5. Step 5: Solve for x
    x = 4,248,822,931.58/76,452.80
  6. Step 6: Final answer
    x = 55,574.46

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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.