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Finding the Fourth Proportional to 39,468, 59,202 and 10,284

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Solution

The fourth proportional to 39,468, 59,202 and 10,284 is: 15,426

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,468 : 59,202 = 10,284 : x
  2. Step 2: Convert to fraction form
    39,468/59,202 = 10,284/x
  3. Step 3: Cross multiply
    39,468x = 59,202 × 10,284
  4. Step 4: Simplify right side
    39,468x = 608,833,368
  5. Step 5: Solve for x
    x = 608,833,368/39,468
  6. Step 6: Final answer
    x = 15,426

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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.