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Finding the Fourth Proportional to 70,457.35, 105,691.02 and 28,337.66

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Solution

The fourth proportional to 70,457.35, 105,691.02 and 28,337.66 is: 42,508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,457.35 : 105,691.02 = 28,337.66 : x
  2. Step 2: Convert to fraction form
    70,457.35/105,691.02 = 28,337.66/x
  3. Step 3: Cross multiply
    70,457.35x = 105,691.02 × 28,337.66
  4. Step 4: Simplify right side
    70,457.35x = 2,995,036,189.81
  5. Step 5: Solve for x
    x = 2,995,036,189.81/70,457.35
  6. Step 6: Final answer
    x = 42,508.50

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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.