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Finding the Fourth Proportional to 35,713.61, 53,569.81 and 8,696.24

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Solution

The fourth proportional to 35,713.61, 53,569.81 and 8,696.24 is: 13,044.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,713.61 : 53,569.81 = 8,696.24 : x
  2. Step 2: Convert to fraction form
    35,713.61/53,569.81 = 8,696.24/x
  3. Step 3: Cross multiply
    35,713.61x = 53,569.81 × 8,696.24
  4. Step 4: Simplify right side
    35,713.61x = 465,855,924.51
  5. Step 5: Solve for x
    x = 465,855,924.51/35,713.61
  6. Step 6: Final answer
    x = 13,044.21

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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.