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Finding the Fourth Proportional to 65,014.64, 89,726.66 and 38,156.57

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Solution

The fourth proportional to 65,014.64, 89,726.66 and 38,156.57 is: 52,659.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,014.64 : 89,726.66 = 38,156.57 : x
  2. Step 2: Convert to fraction form
    65,014.64/89,726.66 = 38,156.57/x
  3. Step 3: Cross multiply
    65,014.64x = 89,726.66 × 38,156.57
  4. Step 4: Simplify right side
    65,014.64x = 3,423,660,943.74
  5. Step 5: Solve for x
    x = 3,423,660,943.74/65,014.64
  6. Step 6: Final answer
    x = 52,659.85

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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.