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Finding the Fourth Proportional to 82,344.71, 123,421.68 and 37,878.14

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Solution

The fourth proportional to 82,344.71, 123,421.68 and 37,878.14 is: 56,773.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,344.71 : 123,421.68 = 37,878.14 : x
  2. Step 2: Convert to fraction form
    82,344.71/123,421.68 = 37,878.14/x
  3. Step 3: Cross multiply
    82,344.71x = 123,421.68 × 37,878.14
  4. Step 4: Simplify right side
    82,344.71x = 4,674,983,056.97
  5. Step 5: Solve for x
    x = 4,674,983,056.97/82,344.71
  6. Step 6: Final answer
    x = 56,773.33

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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.