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Finding the Fourth Proportional to 30,292.29, 45,412.92 and 14,488.38

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Solution

The fourth proportional to 30,292.29, 45,412.92 and 14,488.38 is: 21,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,292.29 : 45,412.92 = 14,488.38 : x
  2. Step 2: Convert to fraction form
    30,292.29/45,412.92 = 14,488.38/x
  3. Step 3: Cross multiply
    30,292.29x = 45,412.92 × 14,488.38
  4. Step 4: Simplify right side
    30,292.29x = 657,959,641.87
  5. Step 5: Solve for x
    x = 657,959,641.87/30,292.29
  6. Step 6: Final answer
    x = 21,720.37

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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.