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Finding the Fourth Proportional to 30,734.40, 42,415.74 and 17,307.12

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Solution

The fourth proportional to 30,734.40, 42,415.74 and 17,307.12 is: 23,885.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,734.40 : 42,415.74 = 17,307.12 : x
  2. Step 2: Convert to fraction form
    30,734.40/42,415.74 = 17,307.12/x
  3. Step 3: Cross multiply
    30,734.40x = 42,415.74 × 17,307.12
  4. Step 4: Simplify right side
    30,734.40x = 734,094,302.07
  5. Step 5: Solve for x
    x = 734,094,302.07/30,734.40
  6. Step 6: Final answer
    x = 23,885.10

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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.