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Finding the Fourth Proportional to 35,846.40, 53,762.40 and 17,126.40

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Solution

The fourth proportional to 35,846.40, 53,762.40 and 17,126.40 is: 25,686.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,846.40 : 53,762.40 = 17,126.40 : x
  2. Step 2: Convert to fraction form
    35,846.40/53,762.40 = 17,126.40/x
  3. Step 3: Cross multiply
    35,846.40x = 53,762.40 × 17,126.40
  4. Step 4: Simplify right side
    35,846.40x = 920,756,367.36
  5. Step 5: Solve for x
    x = 920,756,367.36/35,846.40
  6. Step 6: Final answer
    x = 25,686.16

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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.