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Finding the Fourth Proportional to 27,031, 37,302.36 and 15,094.52

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Solution

The fourth proportional to 27,031, 37,302.36 and 15,094.52 is: 20,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,031 : 37,302.36 = 15,094.52 : x
  2. Step 2: Convert to fraction form
    27,031/37,302.36 = 15,094.52/x
  3. Step 3: Cross multiply
    27,031x = 37,302.36 × 15,094.52
  4. Step 4: Simplify right side
    27,031x = 563,061,219.07
  5. Step 5: Solve for x
    x = 563,061,219.07/27,031
  6. Step 6: Final answer
    x = 20,830.20

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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.