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Finding the Fourth Proportional to 75,877.84, 104,721.96 and 42,346

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Solution

The fourth proportional to 75,877.84, 104,721.96 and 42,346 is: 58,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,877.84 : 104,721.96 = 42,346 : x
  2. Step 2: Convert to fraction form
    75,877.84/104,721.96 = 42,346/x
  3. Step 3: Cross multiply
    75,877.84x = 104,721.96 × 42,346
  4. Step 4: Simplify right side
    75,877.84x = 4,434,556,118.16
  5. Step 5: Solve for x
    x = 4,434,556,118.16/75,877.84
  6. Step 6: Final answer
    x = 58,443.36

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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.