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Finding the Fourth Proportional to 38,031, 57,006.24 and 14,328.24

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Solution

The fourth proportional to 38,031, 57,006.24 and 14,328.24 is: 21,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,031 : 57,006.24 = 14,328.24 : x
  2. Step 2: Convert to fraction form
    38,031/57,006.24 = 14,328.24/x
  3. Step 3: Cross multiply
    38,031x = 57,006.24 × 14,328.24
  4. Step 4: Simplify right side
    38,031x = 816,799,088.22
  5. Step 5: Solve for x
    x = 816,799,088.22/38,031
  6. Step 6: Final answer
    x = 21,477.19

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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.