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Finding the Fourth Proportional to 30,970.48, 42,731.91 and 18,224.22

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Solution

The fourth proportional to 30,970.48, 42,731.91 and 18,224.22 is: 25,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,970.48 : 42,731.91 = 18,224.22 : x
  2. Step 2: Convert to fraction form
    30,970.48/42,731.91 = 18,224.22/x
  3. Step 3: Cross multiply
    30,970.48x = 42,731.91 × 18,224.22
  4. Step 4: Simplify right side
    30,970.48x = 778,755,837.26
  5. Step 5: Solve for x
    x = 778,755,837.26/30,970.48
  6. Step 6: Final answer
    x = 25,145.10

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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.