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Finding the Fourth Proportional to 30,832.10, 42,547.84 and 17,220

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Solution

The fourth proportional to 30,832.10, 42,547.84 and 17,220 is: 23,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.10 : 42,547.84 = 17,220 : x
  2. Step 2: Convert to fraction form
    30,832.10/42,547.84 = 17,220/x
  3. Step 3: Cross multiply
    30,832.10x = 42,547.84 × 17,220
  4. Step 4: Simplify right side
    30,832.10x = 732,673,804.80
  5. Step 5: Solve for x
    x = 732,673,804.80/30,832.10
  6. Step 6: Final answer
    x = 23,763.34

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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.