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Finding the Fourth Proportional to 35,762.31, 53,643.51 and 12,388.77

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Solution

The fourth proportional to 35,762.31, 53,643.51 and 12,388.77 is: 18,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.31 : 53,643.51 = 12,388.77 : x
  2. Step 2: Convert to fraction form
    35,762.31/53,643.51 = 12,388.77/x
  3. Step 3: Cross multiply
    35,762.31x = 53,643.51 × 12,388.77
  4. Step 4: Simplify right side
    35,762.31x = 664,577,107.38
  5. Step 5: Solve for x
    x = 664,577,107.38/35,762.31
  6. Step 6: Final answer
    x = 18,583.17

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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.