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Finding the Fourth Proportional to 58,196, 80,306.70 and 34,317.20

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Solution

The fourth proportional to 58,196, 80,306.70 and 34,317.20 is: 47,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,196 : 80,306.70 = 34,317.20 : x
  2. Step 2: Convert to fraction form
    58,196/80,306.70 = 34,317.20/x
  3. Step 3: Cross multiply
    58,196x = 80,306.70 × 34,317.20
  4. Step 4: Simplify right side
    58,196x = 2,755,901,085.24
  5. Step 5: Solve for x
    x = 2,755,901,085.24/58,196
  6. Step 6: Final answer
    x = 47,355.51

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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.