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Finding the Fourth Proportional to 52,978.11, 79,466.95 and 13,535.16

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Solution

The fourth proportional to 52,978.11, 79,466.95 and 13,535.16 is: 20,302.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,978.11 : 79,466.95 = 13,535.16 : x
  2. Step 2: Convert to fraction form
    52,978.11/79,466.95 = 13,535.16/x
  3. Step 3: Cross multiply
    52,978.11x = 79,466.95 × 13,535.16
  4. Step 4: Simplify right side
    52,978.11x = 1,075,597,882.96
  5. Step 5: Solve for x
    x = 1,075,597,882.96/52,978.11
  6. Step 6: Final answer
    x = 20,302.69

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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.