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Finding the Fourth Proportional to 35,731.62, 49,302.54 and 21,585.24

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Solution

The fourth proportional to 35,731.62, 49,302.54 and 21,585.24 is: 29,783.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,731.62 : 49,302.54 = 21,585.24 : x
  2. Step 2: Convert to fraction form
    35,731.62/49,302.54 = 21,585.24/x
  3. Step 3: Cross multiply
    35,731.62x = 49,302.54 × 21,585.24
  4. Step 4: Simplify right side
    35,731.62x = 1,064,207,158.51
  5. Step 5: Solve for x
    x = 1,064,207,158.51/35,731.62
  6. Step 6: Final answer
    x = 29,783.34

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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.