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Finding the Fourth Proportional to 61,298.90, 84,590.12 and 34,442.54

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Solution

The fourth proportional to 61,298.90, 84,590.12 and 34,442.54 is: 47,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,298.90 : 84,590.12 = 34,442.54 : x
  2. Step 2: Convert to fraction form
    61,298.90/84,590.12 = 34,442.54/x
  3. Step 3: Cross multiply
    61,298.90x = 84,590.12 × 34,442.54
  4. Step 4: Simplify right side
    61,298.90x = 2,913,498,168.75
  5. Step 5: Solve for x
    x = 2,913,498,168.75/61,298.90
  6. Step 6: Final answer
    x = 47,529.38

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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.