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Finding the Fourth Proportional to 61,856, 92,661.12 and 30,595.84

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Solution

The fourth proportional to 61,856, 92,661.12 and 30,595.84 is: 45,832.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,856 : 92,661.12 = 30,595.84 : x
  2. Step 2: Convert to fraction form
    61,856/92,661.12 = 30,595.84/x
  3. Step 3: Cross multiply
    61,856x = 92,661.12 × 30,595.84
  4. Step 4: Simplify right side
    61,856x = 2,835,044,801.74
  5. Step 5: Solve for x
    x = 2,835,044,801.74/61,856
  6. Step 6: Final answer
    x = 45,832.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.