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Finding the Fourth Proportional to 61,848, 92,815.20 and 24,912

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Solution

The fourth proportional to 61,848, 92,815.20 and 24,912 is: 37,385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,848 : 92,815.20 = 24,912 : x
  2. Step 2: Convert to fraction form
    61,848/92,815.20 = 24,912/x
  3. Step 3: Cross multiply
    61,848x = 92,815.20 × 24,912
  4. Step 4: Simplify right side
    61,848x = 2,312,212,262.40
  5. Step 5: Solve for x
    x = 2,312,212,262.40/61,848
  6. Step 6: Final answer
    x = 37,385.40

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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.