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Finding the Fourth Proportional to 35,496, 48,958.78 and 24,145.36

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Solution

The fourth proportional to 35,496, 48,958.78 and 24,145.36 is: 33,303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,496 : 48,958.78 = 24,145.36 : x
  2. Step 2: Convert to fraction form
    35,496/48,958.78 = 24,145.36/x
  3. Step 3: Cross multiply
    35,496x = 48,958.78 × 24,145.36
  4. Step 4: Simplify right side
    35,496x = 1,182,127,185.50
  5. Step 5: Solve for x
    x = 1,182,127,185.50/35,496
  6. Step 6: Final answer
    x = 33,303.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.