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Finding the Fourth Proportional to 88,151.16, 121,648.64 and 47,865

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Solution

The fourth proportional to 88,151.16, 121,648.64 and 47,865 is: 66,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,151.16 : 121,648.64 = 47,865 : x
  2. Step 2: Convert to fraction form
    88,151.16/121,648.64 = 47,865/x
  3. Step 3: Cross multiply
    88,151.16x = 121,648.64 × 47,865
  4. Step 4: Simplify right side
    88,151.16x = 5,822,712,153.60
  5. Step 5: Solve for x
    x = 5,822,712,153.60/88,151.16
  6. Step 6: Final answer
    x = 66,053.72

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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.