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Finding the Fourth Proportional to 30,534.83, 42,138.06 and 17,106.08

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Solution

The fourth proportional to 30,534.83, 42,138.06 and 17,106.08 is: 23,606.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,534.83 : 42,138.06 = 17,106.08 : x
  2. Step 2: Convert to fraction form
    30,534.83/42,138.06 = 17,106.08/x
  3. Step 3: Cross multiply
    30,534.83x = 42,138.06 × 17,106.08
  4. Step 4: Simplify right side
    30,534.83x = 720,816,814.71
  5. Step 5: Solve for x
    x = 720,816,814.71/30,534.83
  6. Step 6: Final answer
    x = 23,606.38

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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.