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Finding the Fourth Proportional to 65,032.87, 97,539.13 and 20,653.78

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Solution

The fourth proportional to 65,032.87, 97,539.13 and 20,653.78 is: 30,977.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,032.87 : 97,539.13 = 20,653.78 : x
  2. Step 2: Convert to fraction form
    65,032.87/97,539.13 = 20,653.78/x
  3. Step 3: Cross multiply
    65,032.87x = 97,539.13 × 20,653.78
  4. Step 4: Simplify right side
    65,032.87x = 2,014,551,732.41
  5. Step 5: Solve for x
    x = 2,014,551,732.41/65,032.87
  6. Step 6: Final answer
    x = 30,977.44

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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.