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Finding the Fourth Proportional to 56,138.32, 77,470.32 and 32,272.48

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Solution

The fourth proportional to 56,138.32, 77,470.32 and 32,272.48 is: 44,535.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,138.32 : 77,470.32 = 32,272.48 : x
  2. Step 2: Convert to fraction form
    56,138.32/77,470.32 = 32,272.48/x
  3. Step 3: Cross multiply
    56,138.32x = 77,470.32 × 32,272.48
  4. Step 4: Simplify right side
    56,138.32x = 2,500,159,352.79
  5. Step 5: Solve for x
    x = 2,500,159,352.79/56,138.32
  6. Step 6: Final answer
    x = 44,535.70

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1.5x scale

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.