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Finding the Fourth Proportional to 49,502.84, 74,246.36 and 14,434.29

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Solution

The fourth proportional to 49,502.84, 74,246.36 and 14,434.29 is: 21,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,502.84 : 74,246.36 = 14,434.29 : x
  2. Step 2: Convert to fraction form
    49,502.84/74,246.36 = 14,434.29/x
  3. Step 3: Cross multiply
    49,502.84x = 74,246.36 × 14,434.29
  4. Step 4: Simplify right side
    49,502.84x = 1,071,693,419.51
  5. Step 5: Solve for x
    x = 1,071,693,419.51/49,502.84
  6. Step 6: Final answer
    x = 21,649.13

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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.