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Finding the Fourth Proportional to 27,931.47, 41,888.32 and 9,208.02

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Solution

The fourth proportional to 27,931.47, 41,888.32 and 9,208.02 is: 13,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.47 : 41,888.32 = 9,208.02 : x
  2. Step 2: Convert to fraction form
    27,931.47/41,888.32 = 9,208.02/x
  3. Step 3: Cross multiply
    27,931.47x = 41,888.32 × 9,208.02
  4. Step 4: Simplify right side
    27,931.47x = 385,708,488.33
  5. Step 5: Solve for x
    x = 385,708,488.33/27,931.47
  6. Step 6: Final answer
    x = 13,809.10

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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.