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Finding the Fourth Proportional to 70,285.60, 96,990 and 38,448.16

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Solution

The fourth proportional to 70,285.60, 96,990 and 38,448.16 is: 53,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,285.60 : 96,990 = 38,448.16 : x
  2. Step 2: Convert to fraction form
    70,285.60/96,990 = 38,448.16/x
  3. Step 3: Cross multiply
    70,285.60x = 96,990 × 38,448.16
  4. Step 4: Simplify right side
    70,285.60x = 3,729,087,038.40
  5. Step 5: Solve for x
    x = 3,729,087,038.40/70,285.60
  6. Step 6: Final answer
    x = 53,056.20

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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.