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Finding the Fourth Proportional to 61,651.74, 92,526.23 and 31,664.77

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Solution

The fourth proportional to 61,651.74, 92,526.23 and 31,664.77 is: 47,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,651.74 : 92,526.23 = 31,664.77 : x
  2. Step 2: Convert to fraction form
    61,651.74/92,526.23 = 31,664.77/x
  3. Step 3: Cross multiply
    61,651.74x = 92,526.23 × 31,664.77
  4. Step 4: Simplify right side
    61,651.74x = 2,929,821,639.76
  5. Step 5: Solve for x
    x = 2,929,821,639.76/61,651.74
  6. Step 6: Final answer
    x = 47,522.12

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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.