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Finding the Fourth Proportional to 30,461.52, 42,036.66 and 17,032.80

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Solution

The fourth proportional to 30,461.52, 42,036.66 and 17,032.80 is: 23,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.52 : 42,036.66 = 17,032.80 : x
  2. Step 2: Convert to fraction form
    30,461.52/42,036.66 = 17,032.80/x
  3. Step 3: Cross multiply
    30,461.52x = 42,036.66 × 17,032.80
  4. Step 4: Simplify right side
    30,461.52x = 716,002,022.45
  5. Step 5: Solve for x
    x = 716,002,022.45/30,461.52
  6. Step 6: Final answer
    x = 23,505.13

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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.