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Finding the Fourth Proportional to 65,028, 89,737.52 and 36,348.23

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Solution

The fourth proportional to 65,028, 89,737.52 and 36,348.23 is: 50,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,028 : 89,737.52 = 36,348.23 : x
  2. Step 2: Convert to fraction form
    65,028/89,737.52 = 36,348.23/x
  3. Step 3: Cross multiply
    65,028x = 89,737.52 × 36,348.23
  4. Step 4: Simplify right side
    65,028x = 3,261,799,386.16
  5. Step 5: Solve for x
    x = 3,261,799,386.16/65,028
  6. Step 6: Final answer
    x = 50,159.92

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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.