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Finding the Fourth Proportional to 40,598.40, 56,031 and 22,697.08

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Solution

The fourth proportional to 40,598.40, 56,031 and 22,697.08 is: 31,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,598.40 : 56,031 = 22,697.08 : x
  2. Step 2: Convert to fraction form
    40,598.40/56,031 = 22,697.08/x
  3. Step 3: Cross multiply
    40,598.40x = 56,031 × 22,697.08
  4. Step 4: Simplify right side
    40,598.40x = 1,271,740,089.48
  5. Step 5: Solve for x
    x = 1,271,740,089.48/40,598.40
  6. Step 6: Final answer
    x = 31,324.88

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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.