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Finding the Fourth Proportional to 65,220.70, 97,831.05 and 15,972.70

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Solution

The fourth proportional to 65,220.70, 97,831.05 and 15,972.70 is: 23,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,220.70 : 97,831.05 = 15,972.70 : x
  2. Step 2: Convert to fraction form
    65,220.70/97,831.05 = 15,972.70/x
  3. Step 3: Cross multiply
    65,220.70x = 97,831.05 × 15,972.70
  4. Step 4: Simplify right side
    65,220.70x = 1,562,626,012.34
  5. Step 5: Solve for x
    x = 1,562,626,012.34/65,220.70
  6. Step 6: Final answer
    x = 23,959.05

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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.