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Finding the Fourth Proportional to 60,438, 83,378.58 and 37,761.54

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Solution

The fourth proportional to 60,438, 83,378.58 and 37,761.54 is: 52,094.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,438 : 83,378.58 = 37,761.54 : x
  2. Step 2: Convert to fraction form
    60,438/83,378.58 = 37,761.54/x
  3. Step 3: Cross multiply
    60,438x = 83,378.58 × 37,761.54
  4. Step 4: Simplify right side
    60,438x = 3,148,503,583.81
  5. Step 5: Solve for x
    x = 3,148,503,583.81/60,438
  6. Step 6: Final answer
    x = 52,094.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.