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Finding the Fourth Proportional to 29,477.68, 40,678.96 and 16,048.91

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Solution

The fourth proportional to 29,477.68, 40,678.96 and 16,048.91 is: 22,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,477.68 : 40,678.96 = 16,048.91 : x
  2. Step 2: Convert to fraction form
    29,477.68/40,678.96 = 16,048.91/x
  3. Step 3: Cross multiply
    29,477.68x = 40,678.96 × 16,048.91
  4. Step 4: Simplify right side
    29,477.68x = 652,852,967.93
  5. Step 5: Solve for x
    x = 652,852,967.93/29,477.68
  6. Step 6: Final answer
    x = 22,147.37

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1.5x scale

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.