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Finding the Fourth Proportional to 61,978.23, 85,515.84 and 35,114.58

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Solution

The fourth proportional to 61,978.23, 85,515.84 and 35,114.58 is: 48,450.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,978.23 : 85,515.84 = 35,114.58 : x
  2. Step 2: Convert to fraction form
    61,978.23/85,515.84 = 35,114.58/x
  3. Step 3: Cross multiply
    61,978.23x = 85,515.84 × 35,114.58
  4. Step 4: Simplify right side
    61,978.23x = 3,002,852,804.95
  5. Step 5: Solve for x
    x = 3,002,852,804.95/61,978.23
  6. Step 6: Final answer
    x = 48,450.12

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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.