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Finding the Fourth Proportional to 61,810.23, 92,684.66 and 19,684.82

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Solution

The fourth proportional to 61,810.23, 92,684.66 and 19,684.82 is: 29,517.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,810.23 : 92,684.66 = 19,684.82 : x
  2. Step 2: Convert to fraction form
    61,810.23/92,684.66 = 19,684.82/x
  3. Step 3: Cross multiply
    61,810.23x = 92,684.66 × 19,684.82
  4. Step 4: Simplify right side
    61,810.23x = 1,824,480,848.86
  5. Step 5: Solve for x
    x = 1,824,480,848.86/61,810.23
  6. Step 6: Final answer
    x = 29,517.46

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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.