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Finding the Fourth Proportional to 65,189.82, 89,966.43 and 36,510.06

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Solution

The fourth proportional to 65,189.82, 89,966.43 and 36,510.06 is: 50,386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.82 : 89,966.43 = 36,510.06 : x
  2. Step 2: Convert to fraction form
    65,189.82/89,966.43 = 36,510.06/x
  3. Step 3: Cross multiply
    65,189.82x = 89,966.43 × 36,510.06
  4. Step 4: Simplify right side
    65,189.82x = 3,284,679,757.29
  5. Step 5: Solve for x
    x = 3,284,679,757.29/65,189.82
  6. Step 6: Final answer
    x = 50,386.39

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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.