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Finding the Fourth Proportional to 51,530.79, 77,647.19 and 42,375.87

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Solution

The fourth proportional to 51,530.79, 77,647.19 and 42,375.87 is: 63,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,530.79 : 77,647.19 = 42,375.87 : x
  2. Step 2: Convert to fraction form
    51,530.79/77,647.19 = 42,375.87/x
  3. Step 3: Cross multiply
    51,530.79x = 77,647.19 × 42,375.87
  4. Step 4: Simplify right side
    51,530.79x = 3,290,367,017.43
  5. Step 5: Solve for x
    x = 3,290,367,017.43/51,530.79
  6. Step 6: Final answer
    x = 63,852.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.