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Finding the Fourth Proportional to 30,830.09, 42,547.46 and 17,396.46

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Solution

The fourth proportional to 30,830.09, 42,547.46 and 17,396.46 is: 24,008.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.09 : 42,547.46 = 17,396.46 : x
  2. Step 2: Convert to fraction form
    30,830.09/42,547.46 = 17,396.46/x
  3. Step 3: Cross multiply
    30,830.09x = 42,547.46 × 17,396.46
  4. Step 4: Simplify right side
    30,830.09x = 740,175,099.01
  5. Step 5: Solve for x
    x = 740,175,099.01/30,830.09
  6. Step 6: Final answer
    x = 24,008.21

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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.