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Finding the Fourth Proportional to 29,588, 40,831.76 and 16,159.64

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Solution

The fourth proportional to 29,588, 40,831.76 and 16,159.64 is: 22,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,588 : 40,831.76 = 16,159.64 : x
  2. Step 2: Convert to fraction form
    29,588/40,831.76 = 16,159.64/x
  3. Step 3: Cross multiply
    29,588x = 40,831.76 × 16,159.64
  4. Step 4: Simplify right side
    29,588x = 659,826,542.17
  5. Step 5: Solve for x
    x = 659,826,542.17/29,588
  6. Step 6: Final answer
    x = 22,300.48

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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.