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Finding the Fourth Proportional to 96,662.60, 144,977.20 and 25,585.72

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Solution

The fourth proportional to 96,662.60, 144,977.20 and 25,585.72 is: 38,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,662.60 : 144,977.20 = 25,585.72 : x
  2. Step 2: Convert to fraction form
    96,662.60/144,977.20 = 25,585.72/x
  3. Step 3: Cross multiply
    96,662.60x = 144,977.20 × 25,585.72
  4. Step 4: Simplify right side
    96,662.60x = 3,709,346,045.58
  5. Step 5: Solve for x
    x = 3,709,346,045.58/96,662.60
  6. Step 6: Final answer
    x = 38,374.16

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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.