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Finding the Fourth Proportional to 35,341.86, 53,019.29 and 11,650.81

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Solution

The fourth proportional to 35,341.86, 53,019.29 and 11,650.81 is: 17,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,341.86 : 53,019.29 = 11,650.81 : x
  2. Step 2: Convert to fraction form
    35,341.86/53,019.29 = 11,650.81/x
  3. Step 3: Cross multiply
    35,341.86x = 53,019.29 × 11,650.81
  4. Step 4: Simplify right side
    35,341.86x = 617,717,674.12
  5. Step 5: Solve for x
    x = 617,717,674.12/35,341.86
  6. Step 6: Final answer
    x = 17,478.36

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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.