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Finding the Fourth Proportional to 75,359, 113,058.66 and 26,111

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Solution

The fourth proportional to 75,359, 113,058.66 and 26,111 is: 39,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,359 : 113,058.66 = 26,111 : x
  2. Step 2: Convert to fraction form
    75,359/113,058.66 = 26,111/x
  3. Step 3: Cross multiply
    75,359x = 113,058.66 × 26,111
  4. Step 4: Simplify right side
    75,359x = 2,952,074,671.26
  5. Step 5: Solve for x
    x = 2,952,074,671.26/75,359
  6. Step 6: Final answer
    x = 39,173.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.