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Finding the Fourth Proportional to 52,482.68, 78,724.02 and 17,422.34

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Solution

The fourth proportional to 52,482.68, 78,724.02 and 17,422.34 is: 26,133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,482.68 : 78,724.02 = 17,422.34 : x
  2. Step 2: Convert to fraction form
    52,482.68/78,724.02 = 17,422.34/x
  3. Step 3: Cross multiply
    52,482.68x = 78,724.02 × 17,422.34
  4. Step 4: Simplify right side
    52,482.68x = 1,371,556,248.99
  5. Step 5: Solve for x
    x = 1,371,556,248.99/52,482.68
  6. Step 6: Final answer
    x = 26,133.50

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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.