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Finding the Fourth Proportional to 30,642.02, 42,283.71 and 17,215.51

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Solution

The fourth proportional to 30,642.02, 42,283.71 and 17,215.51 is: 23,756.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.02 : 42,283.71 = 17,215.51 : x
  2. Step 2: Convert to fraction form
    30,642.02/42,283.71 = 17,215.51/x
  3. Step 3: Cross multiply
    30,642.02x = 42,283.71 × 17,215.51
  4. Step 4: Simplify right side
    30,642.02x = 727,935,675.38
  5. Step 5: Solve for x
    x = 727,935,675.38/30,642.02
  6. Step 6: Final answer
    x = 23,756.13

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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.