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Finding the Fourth Proportional to 108,565.32, 162,903.66 and 51,703.56

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Solution

The fourth proportional to 108,565.32, 162,903.66 and 51,703.56 is: 77,581.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,565.32 : 162,903.66 = 51,703.56 : x
  2. Step 2: Convert to fraction form
    108,565.32/162,903.66 = 51,703.56/x
  3. Step 3: Cross multiply
    108,565.32x = 162,903.66 × 51,703.56
  4. Step 4: Simplify right side
    108,565.32x = 8,422,699,159.03
  5. Step 5: Solve for x
    x = 8,422,699,159.03/108,565.32
  6. Step 6: Final answer
    x = 77,581.86

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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.