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Finding the Fourth Proportional to 30,462.81, 45,583.43 and 25,148.40

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Solution

The fourth proportional to 30,462.81, 45,583.43 and 25,148.40 is: 37,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,462.81 : 45,583.43 = 25,148.40 : x
  2. Step 2: Convert to fraction form
    30,462.81/45,583.43 = 25,148.40/x
  3. Step 3: Cross multiply
    30,462.81x = 45,583.43 × 25,148.40
  4. Step 4: Simplify right side
    30,462.81x = 1,146,350,205.27
  5. Step 5: Solve for x
    x = 1,146,350,205.27/30,462.81
  6. Step 6: Final answer
    x = 37,631.14

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Why These Related Problems?

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