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Finding the Fourth Proportional to 65,228.31, 97,854.62 and 20,866.23

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Solution

The fourth proportional to 65,228.31, 97,854.62 and 20,866.23 is: 31,303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228.31 : 97,854.62 = 20,866.23 : x
  2. Step 2: Convert to fraction form
    65,228.31/97,854.62 = 20,866.23/x
  3. Step 3: Cross multiply
    65,228.31x = 97,854.62 × 20,866.23
  4. Step 4: Simplify right side
    65,228.31x = 2,041,856,903.15
  5. Step 5: Solve for x
    x = 2,041,856,903.15/65,228.31
  6. Step 6: Final answer
    x = 31,303.23

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1.5x scale

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.