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Finding the Fourth Proportional to 61,051.77, 91,503.85 and 31,453.46

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Solution

The fourth proportional to 61,051.77, 91,503.85 and 31,453.46 is: 47,142.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,051.77 : 91,503.85 = 31,453.46 : x
  2. Step 2: Convert to fraction form
    61,051.77/91,503.85 = 31,453.46/x
  3. Step 3: Cross multiply
    61,051.77x = 91,503.85 × 31,453.46
  4. Step 4: Simplify right side
    61,051.77x = 2,878,112,835.95
  5. Step 5: Solve for x
    x = 2,878,112,835.95/61,051.77
  6. Step 6: Final answer
    x = 47,142.17

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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.