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Finding the Fourth Proportional to 65,133.84, 89,856.16 and 38,264.23

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Solution

The fourth proportional to 65,133.84, 89,856.16 and 38,264.23 is: 52,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,133.84 : 89,856.16 = 38,264.23 : x
  2. Step 2: Convert to fraction form
    65,133.84/89,856.16 = 38,264.23/x
  3. Step 3: Cross multiply
    65,133.84x = 89,856.16 × 38,264.23
  4. Step 4: Simplify right side
    65,133.84x = 3,438,276,773.16
  5. Step 5: Solve for x
    x = 3,438,276,773.16/65,133.84
  6. Step 6: Final answer
    x = 52,787.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.