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Finding the Fourth Proportional to 46,587.78, 69,892.56 and 15,423

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Solution

The fourth proportional to 46,587.78, 69,892.56 and 15,423 is: 23,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,587.78 : 69,892.56 = 15,423 : x
  2. Step 2: Convert to fraction form
    46,587.78/69,892.56 = 15,423/x
  3. Step 3: Cross multiply
    46,587.78x = 69,892.56 × 15,423
  4. Step 4: Simplify right side
    46,587.78x = 1,077,952,952.88
  5. Step 5: Solve for x
    x = 1,077,952,952.88/46,587.78
  6. Step 6: Final answer
    x = 23,138.11

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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.