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Finding the Fourth Proportional to 30,320.55, 45,463.82 and 23,283

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Solution

The fourth proportional to 30,320.55, 45,463.82 and 23,283 is: 34,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,320.55 : 45,463.82 = 23,283 : x
  2. Step 2: Convert to fraction form
    30,320.55/45,463.82 = 23,283/x
  3. Step 3: Cross multiply
    30,320.55x = 45,463.82 × 23,283
  4. Step 4: Simplify right side
    30,320.55x = 1,058,534,004.65
  5. Step 5: Solve for x
    x = 1,058,534,004.65/30,320.55
  6. Step 6: Final answer
    x = 34,911.44

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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.