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Finding the Fourth Proportional to 35,322.16, 52,990.86 and 11,948.08

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Solution

The fourth proportional to 35,322.16, 52,990.86 and 11,948.08 is: 17,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322.16 : 52,990.86 = 11,948.08 : x
  2. Step 2: Convert to fraction form
    35,322.16/52,990.86 = 11,948.08/x
  3. Step 3: Cross multiply
    35,322.16x = 52,990.86 × 11,948.08
  4. Step 4: Simplify right side
    35,322.16x = 633,139,034.55
  5. Step 5: Solve for x
    x = 633,139,034.55/35,322.16
  6. Step 6: Final answer
    x = 17,924.70

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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.