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Finding the Fourth Proportional to 51,970.96, 71,720.46 and 28,098.10

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Solution

The fourth proportional to 51,970.96, 71,720.46 and 28,098.10 is: 38,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,970.96 : 71,720.46 = 28,098.10 : x
  2. Step 2: Convert to fraction form
    51,970.96/71,720.46 = 28,098.10/x
  3. Step 3: Cross multiply
    51,970.96x = 71,720.46 × 28,098.10
  4. Step 4: Simplify right side
    51,970.96x = 2,015,208,657.13
  5. Step 5: Solve for x
    x = 2,015,208,657.13/51,970.96
  6. Step 6: Final answer
    x = 38,775.67

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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.