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Finding the Fourth Proportional to 75,824.76, 113,503.86 and 49,472.76

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Solution

The fourth proportional to 75,824.76, 113,503.86 and 49,472.76 is: 74,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,824.76 : 113,503.86 = 49,472.76 : x
  2. Step 2: Convert to fraction form
    75,824.76/113,503.86 = 49,472.76/x
  3. Step 3: Cross multiply
    75,824.76x = 113,503.86 × 49,472.76
  4. Step 4: Simplify right side
    75,824.76x = 5,615,349,224.85
  5. Step 5: Solve for x
    x = 5,615,349,224.85/75,824.76
  6. Step 6: Final answer
    x = 74,056.93

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1.5x scale

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.