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Finding the Fourth Proportional to 30,948, 46,362.24 and 18,478.02

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Solution

The fourth proportional to 30,948, 46,362.24 and 18,478.02 is: 27,681.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,948 : 46,362.24 = 18,478.02 : x
  2. Step 2: Convert to fraction form
    30,948/46,362.24 = 18,478.02/x
  3. Step 3: Cross multiply
    30,948x = 46,362.24 × 18,478.02
  4. Step 4: Simplify right side
    30,948x = 856,682,397.96
  5. Step 5: Solve for x
    x = 856,682,397.96/30,948
  6. Step 6: Final answer
    x = 27,681.35

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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.