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Finding the Fourth Proportional to 30,740.84, 42,422.48 and 17,312.12

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Solution

The fourth proportional to 30,740.84, 42,422.48 and 17,312.12 is: 23,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.84 : 42,422.48 = 17,312.12 : x
  2. Step 2: Convert to fraction form
    30,740.84/42,422.48 = 17,312.12/x
  3. Step 3: Cross multiply
    30,740.84x = 42,422.48 × 17,312.12
  4. Step 4: Simplify right side
    30,740.84x = 734,423,064.46
  5. Step 5: Solve for x
    x = 734,423,064.46/30,740.84
  6. Step 6: Final answer
    x = 23,890.79

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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.