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Finding the Fourth Proportional to 70,374.81, 105,543.28 and 32,898.34

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Solution

The fourth proportional to 70,374.81, 105,543.28 and 32,898.34 is: 49,338.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,374.81 : 105,543.28 = 32,898.34 : x
  2. Step 2: Convert to fraction form
    70,374.81/105,543.28 = 32,898.34/x
  3. Step 3: Cross multiply
    70,374.81x = 105,543.28 × 32,898.34
  4. Step 4: Simplify right side
    70,374.81x = 3,472,198,710.16
  5. Step 5: Solve for x
    x = 3,472,198,710.16/70,374.81
  6. Step 6: Final answer
    x = 49,338.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.