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Finding the Fourth Proportional to 30,494.04, 42,069.42 and 18,547.80

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Solution

The fourth proportional to 30,494.04, 42,069.42 and 18,547.80 is: 25,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.04 : 42,069.42 = 18,547.80 : x
  2. Step 2: Convert to fraction form
    30,494.04/42,069.42 = 18,547.80/x
  3. Step 3: Cross multiply
    30,494.04x = 42,069.42 × 18,547.80
  4. Step 4: Simplify right side
    30,494.04x = 780,295,188.28
  5. Step 5: Solve for x
    x = 780,295,188.28/30,494.04
  6. Step 6: Final answer
    x = 25,588.45

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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.