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Finding the Fourth Proportional to 65,300.40, 97,877.70 and 27,854.10

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Solution

The fourth proportional to 65,300.40, 97,877.70 and 27,854.10 is: 41,750.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300.40 : 97,877.70 = 27,854.10 : x
  2. Step 2: Convert to fraction form
    65,300.40/97,877.70 = 27,854.10/x
  3. Step 3: Cross multiply
    65,300.40x = 97,877.70 × 27,854.10
  4. Step 4: Simplify right side
    65,300.40x = 2,726,295,243.57
  5. Step 5: Solve for x
    x = 2,726,295,243.57/65,300.40
  6. Step 6: Final answer
    x = 41,750.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.