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Finding the Fourth Proportional to 77,624.66, 116,482.17 and 32,642.76

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Solution

The fourth proportional to 77,624.66, 116,482.17 and 32,642.76 is: 48,983.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,624.66 : 116,482.17 = 32,642.76 : x
  2. Step 2: Convert to fraction form
    77,624.66/116,482.17 = 32,642.76/x
  3. Step 3: Cross multiply
    77,624.66x = 116,482.17 × 32,642.76
  4. Step 4: Simplify right side
    77,624.66x = 3,802,299,519.59
  5. Step 5: Solve for x
    x = 3,802,299,519.59/77,624.66
  6. Step 6: Final answer
    x = 48,983.14

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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.