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Finding the Fourth Proportional to 77,417.60, 116,142.80 and 24,864

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Solution

The fourth proportional to 77,417.60, 116,142.80 and 24,864 is: 37,301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,417.60 : 116,142.80 = 24,864 : x
  2. Step 2: Convert to fraction form
    77,417.60/116,142.80 = 24,864/x
  3. Step 3: Cross multiply
    77,417.60x = 116,142.80 × 24,864
  4. Step 4: Simplify right side
    77,417.60x = 2,887,774,579.20
  5. Step 5: Solve for x
    x = 2,887,774,579.20/77,417.60
  6. Step 6: Final answer
    x = 37,301.27

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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.