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Finding the Fourth Proportional to 65,042.50, 97,583.40 and 30,874.50

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Solution

The fourth proportional to 65,042.50, 97,583.40 and 30,874.50 is: 46,321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,042.50 : 97,583.40 = 30,874.50 : x
  2. Step 2: Convert to fraction form
    65,042.50/97,583.40 = 30,874.50/x
  3. Step 3: Cross multiply
    65,042.50x = 97,583.40 × 30,874.50
  4. Step 4: Simplify right side
    65,042.50x = 3,012,838,683.30
  5. Step 5: Solve for x
    x = 3,012,838,683.30/65,042.50
  6. Step 6: Final answer
    x = 46,321.08

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