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Finding the Fourth Proportional to 30,700.51, 42,363.26 and 17,271.48

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Solution

The fourth proportional to 30,700.51, 42,363.26 and 17,271.48 is: 23,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.51 : 42,363.26 = 17,271.48 : x
  2. Step 2: Convert to fraction form
    30,700.51/42,363.26 = 17,271.48/x
  3. Step 3: Cross multiply
    30,700.51x = 42,363.26 × 17,271.48
  4. Step 4: Simplify right side
    30,700.51x = 731,676,197.82
  5. Step 5: Solve for x
    x = 731,676,197.82/30,700.51
  6. Step 6: Final answer
    x = 23,832.70

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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.