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Finding the Fourth Proportional to 70,882.30, 97,774.32 and 42,182.72

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Solution

The fourth proportional to 70,882.30, 97,774.32 and 42,182.72 is: 58,186.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.30 : 97,774.32 = 42,182.72 : x
  2. Step 2: Convert to fraction form
    70,882.30/97,774.32 = 42,182.72/x
  3. Step 3: Cross multiply
    70,882.30x = 97,774.32 × 42,182.72
  4. Step 4: Simplify right side
    70,882.30x = 4,124,386,763.75
  5. Step 5: Solve for x
    x = 4,124,386,763.75/70,882.30
  6. Step 6: Final answer
    x = 58,186.41

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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.