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Finding the Fourth Proportional to 96,009.60, 144,014.40 and 37,641.60

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Solution

The fourth proportional to 96,009.60, 144,014.40 and 37,641.60 is: 56,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,009.60 : 144,014.40 = 37,641.60 : x
  2. Step 2: Convert to fraction form
    96,009.60/144,014.40 = 37,641.60/x
  3. Step 3: Cross multiply
    96,009.60x = 144,014.40 × 37,641.60
  4. Step 4: Simplify right side
    96,009.60x = 5,420,932,439.04
  5. Step 5: Solve for x
    x = 5,420,932,439.04/96,009.60
  6. Step 6: Final answer
    x = 56,462.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.