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Finding the Fourth Proportional to 77,718.38, 107,255.28 and 45,886.59

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Solution

The fourth proportional to 77,718.38, 107,255.28 and 45,886.59 is: 63,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,718.38 : 107,255.28 = 45,886.59 : x
  2. Step 2: Convert to fraction form
    77,718.38/107,255.28 = 45,886.59/x
  3. Step 3: Cross multiply
    77,718.38x = 107,255.28 × 45,886.59
  4. Step 4: Simplify right side
    77,718.38x = 4,921,579,058.70
  5. Step 5: Solve for x
    x = 4,921,579,058.70/77,718.38
  6. Step 6: Final answer
    x = 63,325.81

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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.