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Finding the Fourth Proportional to 94,157, 129,948.18 and 54,413

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Solution

The fourth proportional to 94,157, 129,948.18 and 54,413 is: 75,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,157 : 129,948.18 = 54,413 : x
  2. Step 2: Convert to fraction form
    94,157/129,948.18 = 54,413/x
  3. Step 3: Cross multiply
    94,157x = 129,948.18 × 54,413
  4. Step 4: Simplify right side
    94,157x = 7,070,870,318.34
  5. Step 5: Solve for x
    x = 7,070,870,318.34/94,157
  6. Step 6: Final answer
    x = 75,096.60

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1.5x scale

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.