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Finding the Fourth Proportional to 30,706.71, 42,372.95 and 17,275.36

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Solution

The fourth proportional to 30,706.71, 42,372.95 and 17,275.36 is: 23,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,706.71 : 42,372.95 = 17,275.36 : x
  2. Step 2: Convert to fraction form
    30,706.71/42,372.95 = 17,275.36/x
  3. Step 3: Cross multiply
    30,706.71x = 42,372.95 × 17,275.36
  4. Step 4: Simplify right side
    30,706.71x = 732,007,965.51
  5. Step 5: Solve for x
    x = 732,007,965.51/30,706.71
  6. Step 6: Final answer
    x = 23,838.70

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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.