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Finding the Fourth Proportional to 52,970.28, 79,454.32 and 13,526.52

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Solution

The fourth proportional to 52,970.28, 79,454.32 and 13,526.52 is: 20,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,970.28 : 79,454.32 = 13,526.52 : x
  2. Step 2: Convert to fraction form
    52,970.28/79,454.32 = 13,526.52/x
  3. Step 3: Cross multiply
    52,970.28x = 79,454.32 × 13,526.52
  4. Step 4: Simplify right side
    52,970.28x = 1,074,740,448.57
  5. Step 5: Solve for x
    x = 1,074,740,448.57/52,970.28
  6. Step 6: Final answer
    x = 20,289.50

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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.