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Finding the Fourth Proportional to 61,870.78, 85,381.23 and 33,575.86

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Solution

The fourth proportional to 61,870.78, 85,381.23 and 33,575.86 is: 46,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,870.78 : 85,381.23 = 33,575.86 : x
  2. Step 2: Convert to fraction form
    61,870.78/85,381.23 = 33,575.86/x
  3. Step 3: Cross multiply
    61,870.78x = 85,381.23 × 33,575.86
  4. Step 4: Simplify right side
    61,870.78x = 2,866,748,225.11
  5. Step 5: Solve for x
    x = 2,866,748,225.11/61,870.78
  6. Step 6: Final answer
    x = 46,334.44

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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.