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Finding the Fourth Proportional to 61,849, 92,816.70 and 24,913

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Solution

The fourth proportional to 61,849, 92,816.70 and 24,913 is: 37,386.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,849 : 92,816.70 = 24,913 : x
  2. Step 2: Convert to fraction form
    61,849/92,816.70 = 24,913/x
  3. Step 3: Cross multiply
    61,849x = 92,816.70 × 24,913
  4. Step 4: Simplify right side
    61,849x = 2,312,342,447.10
  5. Step 5: Solve for x
    x = 2,312,342,447.10/61,849
  6. Step 6: Final answer
    x = 37,386.90

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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.