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Finding the Fourth Proportional to 88,096, 121,574.40 and 48,352

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Solution

The fourth proportional to 88,096, 121,574.40 and 48,352 is: 66,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,096 : 121,574.40 = 48,352 : x
  2. Step 2: Convert to fraction form
    88,096/121,574.40 = 48,352/x
  3. Step 3: Cross multiply
    88,096x = 121,574.40 × 48,352
  4. Step 4: Simplify right side
    88,096x = 5,878,365,388.80
  5. Step 5: Solve for x
    x = 5,878,365,388.80/88,096
  6. Step 6: Final answer
    x = 66,726.81

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Why These Related Problems?

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