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Finding the Fourth Proportional to 96,301.60, 144,394.80 and 49,645.60

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Solution

The fourth proportional to 96,301.60, 144,394.80 and 49,645.60 is: 74,438.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,301.60 : 144,394.80 = 49,645.60 : x
  2. Step 2: Convert to fraction form
    96,301.60/144,394.80 = 49,645.60/x
  3. Step 3: Cross multiply
    96,301.60x = 144,394.80 × 49,645.60
  4. Step 4: Simplify right side
    96,301.60x = 7,168,566,482.88
  5. Step 5: Solve for x
    x = 7,168,566,482.88/96,301.60
  6. Step 6: Final answer
    x = 74,438.71

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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.