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Finding the Fourth Proportional to 52,697.34, 79,040.19 and 13,254.47

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Solution

The fourth proportional to 52,697.34, 79,040.19 and 13,254.47 is: 19,880.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,697.34 : 79,040.19 = 13,254.47 : x
  2. Step 2: Convert to fraction form
    52,697.34/79,040.19 = 13,254.47/x
  3. Step 3: Cross multiply
    52,697.34x = 79,040.19 × 13,254.47
  4. Step 4: Simplify right side
    52,697.34x = 1,047,636,074.45
  5. Step 5: Solve for x
    x = 1,047,636,074.45/52,697.34
  6. Step 6: Final answer
    x = 19,880.24

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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.