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Finding the Fourth Proportional to 49,490.84, 74,242.94 and 14,430.20

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Solution

The fourth proportional to 49,490.84, 74,242.94 and 14,430.20 is: 21,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,490.84 : 74,242.94 = 14,430.20 : x
  2. Step 2: Convert to fraction form
    49,490.84/74,242.94 = 14,430.20/x
  3. Step 3: Cross multiply
    49,490.84x = 74,242.94 × 14,430.20
  4. Step 4: Simplify right side
    49,490.84x = 1,071,340,029.42
  5. Step 5: Solve for x
    x = 1,071,340,029.42/49,490.84
  6. Step 6: Final answer
    x = 21,647.24

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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.