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Finding the Fourth Proportional to 70,164.96, 96,826.08 and 38,334

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Solution

The fourth proportional to 70,164.96, 96,826.08 and 38,334 is: 52,900.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,164.96 : 96,826.08 = 38,334 : x
  2. Step 2: Convert to fraction form
    70,164.96/96,826.08 = 38,334/x
  3. Step 3: Cross multiply
    70,164.96x = 96,826.08 × 38,334
  4. Step 4: Simplify right side
    70,164.96x = 3,711,730,950.72
  5. Step 5: Solve for x
    x = 3,711,730,950.72/70,164.96
  6. Step 6: Final answer
    x = 52,900.07

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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.