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Finding the Fourth Proportional to 65,215.48, 89,965.32 and 42,544

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Solution

The fourth proportional to 65,215.48, 89,965.32 and 42,544 is: 58,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,215.48 : 89,965.32 = 42,544 : x
  2. Step 2: Convert to fraction form
    65,215.48/89,965.32 = 42,544/x
  3. Step 3: Cross multiply
    65,215.48x = 89,965.32 × 42,544
  4. Step 4: Simplify right side
    65,215.48x = 3,827,484,574.08
  5. Step 5: Solve for x
    x = 3,827,484,574.08/65,215.48
  6. Step 6: Final answer
    x = 58,689.82

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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.