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Finding the Fourth Proportional to 33,196, 45,779.71 and 24,718.95

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Solution

The fourth proportional to 33,196, 45,779.71 and 24,718.95 is: 34,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,196 : 45,779.71 = 24,718.95 : x
  2. Step 2: Convert to fraction form
    33,196/45,779.71 = 24,718.95/x
  3. Step 3: Cross multiply
    33,196x = 45,779.71 × 24,718.95
  4. Step 4: Simplify right side
    33,196x = 1,131,626,362.50
  5. Step 5: Solve for x
    x = 1,131,626,362.50/33,196
  6. Step 6: Final answer
    x = 34,089.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.