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Finding the Fourth Proportional to 55,854.72, 77,074.56 and 30,703.68

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Solution

The fourth proportional to 55,854.72, 77,074.56 and 30,703.68 is: 42,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,854.72 : 77,074.56 = 30,703.68 : x
  2. Step 2: Convert to fraction form
    55,854.72/77,074.56 = 30,703.68/x
  3. Step 3: Cross multiply
    55,854.72x = 77,074.56 × 30,703.68
  4. Step 4: Simplify right side
    55,854.72x = 2,366,472,626.38
  5. Step 5: Solve for x
    x = 2,366,472,626.38/55,854.72
  6. Step 6: Final answer
    x = 42,368.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.