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Finding the Fourth Proportional to 42,421, 63,615.50 and 34,080.52

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Solution

The fourth proportional to 42,421, 63,615.50 and 34,080.52 is: 51,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,421 : 63,615.50 = 34,080.52 : x
  2. Step 2: Convert to fraction form
    42,421/63,615.50 = 34,080.52/x
  3. Step 3: Cross multiply
    42,421x = 63,615.50 × 34,080.52
  4. Step 4: Simplify right side
    42,421x = 2,168,049,320.06
  5. Step 5: Solve for x
    x = 2,168,049,320.06/42,421
  6. Step 6: Final answer
    x = 51,107.93

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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.