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Finding the Fourth Proportional to 38,400.49, 52,995.75 and 21,410.24

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Solution

The fourth proportional to 38,400.49, 52,995.75 and 21,410.24 is: 29,547.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.49 : 52,995.75 = 21,410.24 : x
  2. Step 2: Convert to fraction form
    38,400.49/52,995.75 = 21,410.24/x
  3. Step 3: Cross multiply
    38,400.49x = 52,995.75 × 21,410.24
  4. Step 4: Simplify right side
    38,400.49x = 1,134,651,461.50
  5. Step 5: Solve for x
    x = 1,134,651,461.50/38,400.49
  6. Step 6: Final answer
    x = 29,547.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.