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Finding the Fourth Proportional to 115,812.42, 159,807.68 and 64,828

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Solution

The fourth proportional to 115,812.42, 159,807.68 and 64,828 is: 89,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,812.42 : 159,807.68 = 64,828 : x
  2. Step 2: Convert to fraction form
    115,812.42/159,807.68 = 64,828/x
  3. Step 3: Cross multiply
    115,812.42x = 159,807.68 × 64,828
  4. Step 4: Simplify right side
    115,812.42x = 10,360,012,279.04
  5. Step 5: Solve for x
    x = 10,360,012,279.04/115,812.42
  6. Step 6: Final answer
    x = 89,455.11

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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.