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Finding the Fourth Proportional to 76,965.80, 115,448.70 and 47,287.40

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Solution

The fourth proportional to 76,965.80, 115,448.70 and 47,287.40 is: 70,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,965.80 : 115,448.70 = 47,287.40 : x
  2. Step 2: Convert to fraction form
    76,965.80/115,448.70 = 47,287.40/x
  3. Step 3: Cross multiply
    76,965.80x = 115,448.70 × 47,287.40
  4. Step 4: Simplify right side
    76,965.80x = 5,459,268,856.38
  5. Step 5: Solve for x
    x = 5,459,268,856.38/76,965.80
  6. Step 6: Final answer
    x = 70,931.10

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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.