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Finding the Fourth Proportional to 76,498.31, 114,770.28 and 36,547.22

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Solution

The fourth proportional to 76,498.31, 114,770.28 and 36,547.22 is: 54,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,498.31 : 114,770.28 = 36,547.22 : x
  2. Step 2: Convert to fraction form
    76,498.31/114,770.28 = 36,547.22/x
  3. Step 3: Cross multiply
    76,498.31x = 114,770.28 × 36,547.22
  4. Step 4: Simplify right side
    76,498.31x = 4,194,534,672.62
  5. Step 5: Solve for x
    x = 4,194,534,672.62/76,498.31
  6. Step 6: Final answer
    x = 54,831.73

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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.