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Finding the Fourth Proportional to 58,031.32, 86,930.34 and 30,271

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Solution

The fourth proportional to 58,031.32, 86,930.34 and 30,271 is: 45,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,031.32 : 86,930.34 = 30,271 : x
  2. Step 2: Convert to fraction form
    58,031.32/86,930.34 = 30,271/x
  3. Step 3: Cross multiply
    58,031.32x = 86,930.34 × 30,271
  4. Step 4: Simplify right side
    58,031.32x = 2,631,468,322.14
  5. Step 5: Solve for x
    x = 2,631,468,322.14/58,031.32
  6. Step 6: Final answer
    x = 45,345.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.