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Finding the Fourth Proportional to 55,024, 82,537.10 and 18,088

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Solution

The fourth proportional to 55,024, 82,537.10 and 18,088 is: 27,132.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,024 : 82,537.10 = 18,088 : x
  2. Step 2: Convert to fraction form
    55,024/82,537.10 = 18,088/x
  3. Step 3: Cross multiply
    55,024x = 82,537.10 × 18,088
  4. Step 4: Simplify right side
    55,024x = 1,492,931,064.80
  5. Step 5: Solve for x
    x = 1,492,931,064.80/55,024
  6. Step 6: Final answer
    x = 27,132.36

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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.