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Finding the Fourth Proportional to 35,230.78, 52,848.02 and 8,935.74

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Solution

The fourth proportional to 35,230.78, 52,848.02 and 8,935.74 is: 13,404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,230.78 : 52,848.02 = 8,935.74 : x
  2. Step 2: Convert to fraction form
    35,230.78/52,848.02 = 8,935.74/x
  3. Step 3: Cross multiply
    35,230.78x = 52,848.02 × 8,935.74
  4. Step 4: Simplify right side
    35,230.78x = 472,236,166.23
  5. Step 5: Solve for x
    x = 472,236,166.23/35,230.78
  6. Step 6: Final answer
    x = 13,404.08

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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.