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Finding the Fourth Proportional to 126,565.95, 189,790.48 and 46,583.82

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Solution

The fourth proportional to 126,565.95, 189,790.48 and 46,583.82 is: 69,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,565.95 : 189,790.48 = 46,583.82 : x
  2. Step 2: Convert to fraction form
    126,565.95/189,790.48 = 46,583.82/x
  3. Step 3: Cross multiply
    126,565.95x = 189,790.48 × 46,583.82
  4. Step 4: Simplify right side
    126,565.95x = 8,841,165,558.03
  5. Step 5: Solve for x
    x = 8,841,165,558.03/126,565.95
  6. Step 6: Final answer
    x = 69,854.22

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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.