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Finding the Fourth Proportional to 27,342.84, 41,031.54 and 15,678.84

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Solution

The fourth proportional to 27,342.84, 41,031.54 and 15,678.84 is: 23,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342.84 : 41,031.54 = 15,678.84 : x
  2. Step 2: Convert to fraction form
    27,342.84/41,031.54 = 15,678.84/x
  3. Step 3: Cross multiply
    27,342.84x = 41,031.54 × 15,678.84
  4. Step 4: Simplify right side
    27,342.84x = 643,326,950.61
  5. Step 5: Solve for x
    x = 643,326,950.61/27,342.84
  6. Step 6: Final answer
    x = 23,528.17

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1.5x scale

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.