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Finding the Fourth Proportional to 40,941, 61,411.50 and 13,239

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Solution

The fourth proportional to 40,941, 61,411.50 and 13,239 is: 19,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,941 : 61,411.50 = 13,239 : x
  2. Step 2: Convert to fraction form
    40,941/61,411.50 = 13,239/x
  3. Step 3: Cross multiply
    40,941x = 61,411.50 × 13,239
  4. Step 4: Simplify right side
    40,941x = 813,026,848.50
  5. Step 5: Solve for x
    x = 813,026,848.50/40,941
  6. Step 6: Final answer
    x = 19,858.50

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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.