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Finding the Fourth Proportional to 70,233.50, 96,923.99 and 42,638.50

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Solution

The fourth proportional to 70,233.50, 96,923.99 and 42,638.50 is: 58,842.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,233.50 : 96,923.99 = 42,638.50 : x
  2. Step 2: Convert to fraction form
    70,233.50/96,923.99 = 42,638.50/x
  3. Step 3: Cross multiply
    70,233.50x = 96,923.99 × 42,638.50
  4. Step 4: Simplify right side
    70,233.50x = 4,132,693,547.62
  5. Step 5: Solve for x
    x = 4,132,693,547.62/70,233.50
  6. Step 6: Final answer
    x = 58,842.20

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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.