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Finding the Fourth Proportional to 35,985.62, 53,923.74 and 22,798

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Solution

The fourth proportional to 35,985.62, 53,923.74 and 22,798 is: 34,162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,985.62 : 53,923.74 = 22,798 : x
  2. Step 2: Convert to fraction form
    35,985.62/53,923.74 = 22,798/x
  3. Step 3: Cross multiply
    35,985.62x = 53,923.74 × 22,798
  4. Step 4: Simplify right side
    35,985.62x = 1,229,353,424.52
  5. Step 5: Solve for x
    x = 1,229,353,424.52/35,985.62
  6. Step 6: Final answer
    x = 34,162.35

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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.