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Finding the Fourth Proportional to 75,870.84, 104,712.30 and 42,339

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Solution

The fourth proportional to 75,870.84, 104,712.30 and 42,339 is: 58,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,870.84 : 104,712.30 = 42,339 : x
  2. Step 2: Convert to fraction form
    75,870.84/104,712.30 = 42,339/x
  3. Step 3: Cross multiply
    75,870.84x = 104,712.30 × 42,339
  4. Step 4: Simplify right side
    75,870.84x = 4,433,414,069.70
  5. Step 5: Solve for x
    x = 4,433,414,069.70/75,870.84
  6. Step 6: Final answer
    x = 58,433.70

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