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Finding the Fourth Proportional to 70,009.48, 96,610.96 and 38,179

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Solution

The fourth proportional to 70,009.48, 96,610.96 and 38,179 is: 52,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,009.48 : 96,610.96 = 38,179 : x
  2. Step 2: Convert to fraction form
    70,009.48/96,610.96 = 38,179/x
  3. Step 3: Cross multiply
    70,009.48x = 96,610.96 × 38,179
  4. Step 4: Simplify right side
    70,009.48x = 3,688,509,841.84
  5. Step 5: Solve for x
    x = 3,688,509,841.84/70,009.48
  6. Step 6: Final answer
    x = 52,685.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.