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Finding the Fourth Proportional to 31,113.60, 42,915.06 and 30,085.08

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Solution

The fourth proportional to 31,113.60, 42,915.06 and 30,085.08 is: 41,496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113.60 : 42,915.06 = 30,085.08 : x
  2. Step 2: Convert to fraction form
    31,113.60/42,915.06 = 30,085.08/x
  3. Step 3: Cross multiply
    31,113.60x = 42,915.06 × 30,085.08
  4. Step 4: Simplify right side
    31,113.60x = 1,291,103,013.30
  5. Step 5: Solve for x
    x = 1,291,103,013.30/31,113.60
  6. Step 6: Final answer
    x = 41,496.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.