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Finding the Fourth Proportional to 61,782.68, 92,673.84 and 22,339.82

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Solution

The fourth proportional to 61,782.68, 92,673.84 and 22,339.82 is: 33,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782.68 : 92,673.84 = 22,339.82 : x
  2. Step 2: Convert to fraction form
    61,782.68/92,673.84 = 22,339.82/x
  3. Step 3: Cross multiply
    61,782.68x = 92,673.84 × 22,339.82
  4. Step 4: Simplify right side
    61,782.68x = 2,070,316,904.31
  5. Step 5: Solve for x
    x = 2,070,316,904.31/61,782.68
  6. Step 6: Final answer
    x = 33,509.66

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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.