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Finding the Fourth Proportional to 30,802.42, 42,513.94 and 19,464.72

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Solution

The fourth proportional to 30,802.42, 42,513.94 and 19,464.72 is: 26,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.42 : 42,513.94 = 19,464.72 : x
  2. Step 2: Convert to fraction form
    30,802.42/42,513.94 = 19,464.72/x
  3. Step 3: Cross multiply
    30,802.42x = 42,513.94 × 19,464.72
  4. Step 4: Simplify right side
    30,802.42x = 827,521,938.20
  5. Step 5: Solve for x
    x = 827,521,938.20/30,802.42
  6. Step 6: Final answer
    x = 26,865.48

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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.