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Finding the Fourth Proportional to 29,477.16, 40,678.05 and 16,048.51

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Solution

The fourth proportional to 29,477.16, 40,678.05 and 16,048.51 is: 22,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,477.16 : 40,678.05 = 16,048.51 : x
  2. Step 2: Convert to fraction form
    29,477.16/40,678.05 = 16,048.51/x
  3. Step 3: Cross multiply
    29,477.16x = 40,678.05 × 16,048.51
  4. Step 4: Simplify right side
    29,477.16x = 652,822,092.21
  5. Step 5: Solve for x
    x = 652,822,092.21/29,477.16
  6. Step 6: Final answer
    x = 22,146.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.