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Finding the Fourth Proportional to 56,494.68, 77,959.29 and 32,298.26

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Solution

The fourth proportional to 56,494.68, 77,959.29 and 32,298.26 is: 44,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,494.68 : 77,959.29 = 32,298.26 : x
  2. Step 2: Convert to fraction form
    56,494.68/77,959.29 = 32,298.26/x
  3. Step 3: Cross multiply
    56,494.68x = 77,959.29 × 32,298.26
  4. Step 4: Simplify right side
    56,494.68x = 2,517,949,149.16
  5. Step 5: Solve for x
    x = 2,517,949,149.16/56,494.68
  6. Step 6: Final answer
    x = 44,569.67

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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.