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Finding the Fourth Proportional to 34,302.40, 51,448.80 and 10,931.20

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Solution

The fourth proportional to 34,302.40, 51,448.80 and 10,931.20 is: 16,395.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,302.40 : 51,448.80 = 10,931.20 : x
  2. Step 2: Convert to fraction form
    34,302.40/51,448.80 = 10,931.20/x
  3. Step 3: Cross multiply
    34,302.40x = 51,448.80 × 10,931.20
  4. Step 4: Simplify right side
    34,302.40x = 562,397,122.56
  5. Step 5: Solve for x
    x = 562,397,122.56/34,302.40
  6. Step 6: Final answer
    x = 16,395.27

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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.