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Finding the Fourth Proportional to 61,835.16, 92,751.84 and 42,842.28

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Solution

The fourth proportional to 61,835.16, 92,751.84 and 42,842.28 is: 64,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,835.16 : 92,751.84 = 42,842.28 : x
  2. Step 2: Convert to fraction form
    61,835.16/92,751.84 = 42,842.28/x
  3. Step 3: Cross multiply
    61,835.16x = 92,751.84 × 42,842.28
  4. Step 4: Simplify right side
    61,835.16x = 3,973,700,299.80
  5. Step 5: Solve for x
    x = 3,973,700,299.80/61,835.16
  6. Step 6: Final answer
    x = 64,262.80

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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.