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Finding the Fourth Proportional to 30,648.38, 42,294.47 and 17,036.06

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Solution

The fourth proportional to 30,648.38, 42,294.47 and 17,036.06 is: 23,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,648.38 : 42,294.47 = 17,036.06 : x
  2. Step 2: Convert to fraction form
    30,648.38/42,294.47 = 17,036.06/x
  3. Step 3: Cross multiply
    30,648.38x = 42,294.47 × 17,036.06
  4. Step 4: Simplify right side
    30,648.38x = 720,531,043.41
  5. Step 5: Solve for x
    x = 720,531,043.41/30,648.38
  6. Step 6: Final answer
    x = 23,509.60

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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.