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Finding the Fourth Proportional to 61,819.81, 85,302.36 and 34,595.77

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Solution

The fourth proportional to 61,819.81, 85,302.36 and 34,595.77 is: 47,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,819.81 : 85,302.36 = 34,595.77 : x
  2. Step 2: Convert to fraction form
    61,819.81/85,302.36 = 34,595.77/x
  3. Step 3: Cross multiply
    61,819.81x = 85,302.36 × 34,595.77
  4. Step 4: Simplify right side
    61,819.81x = 2,951,100,400.51
  5. Step 5: Solve for x
    x = 2,951,100,400.51/61,819.81
  6. Step 6: Final answer
    x = 47,737.13

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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.