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Finding the Fourth Proportional to 88,320, 121,881.60 and 48,576

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Solution

The fourth proportional to 88,320, 121,881.60 and 48,576 is: 67,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,320 : 121,881.60 = 48,576 : x
  2. Step 2: Convert to fraction form
    88,320/121,881.60 = 48,576/x
  3. Step 3: Cross multiply
    88,320x = 121,881.60 × 48,576
  4. Step 4: Simplify right side
    88,320x = 5,920,520,601.60
  5. Step 5: Solve for x
    x = 5,920,520,601.60/88,320
  6. Step 6: Final answer
    x = 67,034.88

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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.