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Finding the Fourth Proportional to 61,330.32, 91,952.64 and 31,353.66

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Solution

The fourth proportional to 61,330.32, 91,952.64 and 31,353.66 is: 47,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,330.32 : 91,952.64 = 31,353.66 : x
  2. Step 2: Convert to fraction form
    61,330.32/91,952.64 = 31,353.66/x
  3. Step 3: Cross multiply
    61,330.32x = 91,952.64 × 31,353.66
  4. Step 4: Simplify right side
    61,330.32x = 2,883,051,810.66
  5. Step 5: Solve for x
    x = 2,883,051,810.66/61,330.32
  6. Step 6: Final answer
    x = 47,008.59

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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.