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Finding the Fourth Proportional to 61,453.04, 84,809.40 and 34,598

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Solution

The fourth proportional to 61,453.04, 84,809.40 and 34,598 is: 47,747.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,453.04 : 84,809.40 = 34,598 : x
  2. Step 2: Convert to fraction form
    61,453.04/84,809.40 = 34,598/x
  3. Step 3: Cross multiply
    61,453.04x = 84,809.40 × 34,598
  4. Step 4: Simplify right side
    61,453.04x = 2,934,235,621.20
  5. Step 5: Solve for x
    x = 2,934,235,621.20/61,453.04
  6. Step 6: Final answer
    x = 47,747.61

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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.