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Finding the Fourth Proportional to 61,009.55, 84,194.94 and 34,151.90

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Solution

The fourth proportional to 61,009.55, 84,194.94 and 34,151.90 is: 47,130.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,009.55 : 84,194.94 = 34,151.90 : x
  2. Step 2: Convert to fraction form
    61,009.55/84,194.94 = 34,151.90/x
  3. Step 3: Cross multiply
    61,009.55x = 84,194.94 × 34,151.90
  4. Step 4: Simplify right side
    61,009.55x = 2,875,417,588.88
  5. Step 5: Solve for x
    x = 2,875,417,588.88/61,009.55
  6. Step 6: Final answer
    x = 47,130.61

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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.