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Finding the Fourth Proportional to 30,802.55, 42,514.16 and 19,464.85

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Solution

The fourth proportional to 30,802.55, 42,514.16 and 19,464.85 is: 26,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.55 : 42,514.16 = 19,464.85 : x
  2. Step 2: Convert to fraction form
    30,802.55/42,514.16 = 19,464.85/x
  3. Step 3: Cross multiply
    30,802.55x = 42,514.16 × 19,464.85
  4. Step 4: Simplify right side
    30,802.55x = 827,531,543.67
  5. Step 5: Solve for x
    x = 827,531,543.67/30,802.55
  6. Step 6: Final answer
    x = 26,865.68

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