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Finding the Fourth Proportional to 65,038.12, 89,696.34 and 42,368.56

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Solution

The fourth proportional to 65,038.12, 89,696.34 and 42,368.56 is: 58,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.12 : 89,696.34 = 42,368.56 : x
  2. Step 2: Convert to fraction form
    65,038.12/89,696.34 = 42,368.56/x
  3. Step 3: Cross multiply
    65,038.12x = 89,696.34 × 42,368.56
  4. Step 4: Simplify right side
    65,038.12x = 3,800,304,763.07
  5. Step 5: Solve for x
    x = 3,800,304,763.07/65,038.12
  6. Step 6: Final answer
    x = 58,431.96

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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.