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Finding the Fourth Proportional to 61,767.84, 85,238.37 and 34,543.83

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Solution

The fourth proportional to 61,767.84, 85,238.37 and 34,543.83 is: 47,669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,767.84 : 85,238.37 = 34,543.83 : x
  2. Step 2: Convert to fraction form
    61,767.84/85,238.37 = 34,543.83/x
  3. Step 3: Cross multiply
    61,767.84x = 85,238.37 × 34,543.83
  4. Step 4: Simplify right side
    61,767.84x = 2,944,459,762.76
  5. Step 5: Solve for x
    x = 2,944,459,762.76/61,767.84
  6. Step 6: Final answer
    x = 47,669.79

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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.