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Finding the Fourth Proportional to 83,232, 114,867.12 and 47,423.52

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Solution

The fourth proportional to 83,232, 114,867.12 and 47,423.52 is: 65,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232 : 114,867.12 = 47,423.52 : x
  2. Step 2: Convert to fraction form
    83,232/114,867.12 = 47,423.52/x
  3. Step 3: Cross multiply
    83,232x = 114,867.12 × 47,423.52
  4. Step 4: Simplify right side
    83,232x = 5,447,403,162.66
  5. Step 5: Solve for x
    x = 5,447,403,162.66/83,232
  6. Step 6: Final answer
    x = 65,448.42

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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.