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Finding the Fourth Proportional to 52,196.72, 78,307.04 and 22,619.52

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Solution

The fourth proportional to 52,196.72, 78,307.04 and 22,619.52 is: 33,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,196.72 : 78,307.04 = 22,619.52 : x
  2. Step 2: Convert to fraction form
    52,196.72/78,307.04 = 22,619.52/x
  3. Step 3: Cross multiply
    52,196.72x = 78,307.04 × 22,619.52
  4. Step 4: Simplify right side
    52,196.72x = 1,771,267,657.42
  5. Step 5: Solve for x
    x = 1,771,267,657.42/52,196.72
  6. Step 6: Final answer
    x = 33,934.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.