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Finding the Fourth Proportional to 61,222.60, 91,883.04 and 31,649.05

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Solution

The fourth proportional to 61,222.60, 91,883.04 and 31,649.05 is: 47,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,222.60 : 91,883.04 = 31,649.05 : x
  2. Step 2: Convert to fraction form
    61,222.60/91,883.04 = 31,649.05/x
  3. Step 3: Cross multiply
    61,222.60x = 91,883.04 × 31,649.05
  4. Step 4: Simplify right side
    61,222.60x = 2,908,010,927.11
  5. Step 5: Solve for x
    x = 2,908,010,927.11/61,222.60
  6. Step 6: Final answer
    x = 47,498.98

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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.