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Finding the Fourth Proportional to 77,287.60, 116,063.58 and 47,476.60

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Solution

The fourth proportional to 77,287.60, 116,063.58 and 47,476.60 is: 71,296.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,287.60 : 116,063.58 = 47,476.60 : x
  2. Step 2: Convert to fraction form
    77,287.60/116,063.58 = 47,476.60/x
  3. Step 3: Cross multiply
    77,287.60x = 116,063.58 × 47,476.60
  4. Step 4: Simplify right side
    77,287.60x = 5,510,304,162.23
  5. Step 5: Solve for x
    x = 5,510,304,162.23/77,287.60
  6. Step 6: Final answer
    x = 71,296.10

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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.