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Finding the Fourth Proportional to 30,547.38, 45,812.08 and 9,199.22

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Solution

The fourth proportional to 30,547.38, 45,812.08 and 9,199.22 is: 13,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,547.38 : 45,812.08 = 9,199.22 : x
  2. Step 2: Convert to fraction form
    30,547.38/45,812.08 = 9,199.22/x
  3. Step 3: Cross multiply
    30,547.38x = 45,812.08 × 9,199.22
  4. Step 4: Simplify right side
    30,547.38x = 421,435,442.71
  5. Step 5: Solve for x
    x = 421,435,442.71/30,547.38
  6. Step 6: Final answer
    x = 13,796.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.