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Finding the Fourth Proportional to 30,971.56, 42,741.84 and 17,543.20

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Solution

The fourth proportional to 30,971.56, 42,741.84 and 17,543.20 is: 24,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,971.56 : 42,741.84 = 17,543.20 : x
  2. Step 2: Convert to fraction form
    30,971.56/42,741.84 = 17,543.20/x
  3. Step 3: Cross multiply
    30,971.56x = 42,741.84 × 17,543.20
  4. Step 4: Simplify right side
    30,971.56x = 749,828,647.49
  5. Step 5: Solve for x
    x = 749,828,647.49/30,971.56
  6. Step 6: Final answer
    x = 24,210.23

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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.