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Finding the Fourth Proportional to 61,285.48, 84,575.10 and 34,064.11

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Solution

The fourth proportional to 61,285.48, 84,575.10 and 34,064.11 is: 47,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,285.48 : 84,575.10 = 34,064.11 : x
  2. Step 2: Convert to fraction form
    61,285.48/84,575.10 = 34,064.11/x
  3. Step 3: Cross multiply
    61,285.48x = 84,575.10 × 34,064.11
  4. Step 4: Simplify right side
    61,285.48x = 2,880,975,743.12
  5. Step 5: Solve for x
    x = 2,880,975,743.12/61,285.48
  6. Step 6: Final answer
    x = 47,009.11

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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.