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Finding the Fourth Proportional to 35,761.86, 53,637.48 and 9,468.42

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Solution

The fourth proportional to 35,761.86, 53,637.48 and 9,468.42 is: 14,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,761.86 : 53,637.48 = 9,468.42 : x
  2. Step 2: Convert to fraction form
    35,761.86/53,637.48 = 9,468.42/x
  3. Step 3: Cross multiply
    35,761.86x = 53,637.48 × 9,468.42
  4. Step 4: Simplify right side
    35,761.86x = 507,862,188.38
  5. Step 5: Solve for x
    x = 507,862,188.38/35,761.86
  6. Step 6: Final answer
    x = 14,201.22

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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.