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Finding the Fourth Proportional to 29,476.58, 40,678.53 and 16,048.06

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Solution

The fourth proportional to 29,476.58, 40,678.53 and 16,048.06 is: 22,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,476.58 : 40,678.53 = 16,048.06 : x
  2. Step 2: Convert to fraction form
    29,476.58/40,678.53 = 16,048.06/x
  3. Step 3: Cross multiply
    29,476.58x = 40,678.53 × 16,048.06
  4. Step 4: Simplify right side
    29,476.58x = 652,811,328.28
  5. Step 5: Solve for x
    x = 652,811,328.28/29,476.58
  6. Step 6: Final answer
    x = 22,146.78

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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.