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Finding the Fourth Proportional to 51,806.40, 77,693.12 and 16,737.76

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Solution

The fourth proportional to 51,806.40, 77,693.12 and 16,737.76 is: 25,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,806.40 : 77,693.12 = 16,737.76 : x
  2. Step 2: Convert to fraction form
    51,806.40/77,693.12 = 16,737.76/x
  3. Step 3: Cross multiply
    51,806.40x = 77,693.12 × 16,737.76
  4. Step 4: Simplify right side
    51,806.40x = 1,300,408,796.21
  5. Step 5: Solve for x
    x = 1,300,408,796.21/51,806.40
  6. Step 6: Final answer
    x = 25,101.32

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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.