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Finding the Fourth Proportional to 35,345.77, 53,019.14 and 11,655.77

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Solution

The fourth proportional to 35,345.77, 53,019.14 and 11,655.77 is: 17,483.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,345.77 : 53,019.14 = 11,655.77 : x
  2. Step 2: Convert to fraction form
    35,345.77/53,019.14 = 11,655.77/x
  3. Step 3: Cross multiply
    35,345.77x = 53,019.14 × 11,655.77
  4. Step 4: Simplify right side
    35,345.77x = 617,978,578.06
  5. Step 5: Solve for x
    x = 617,978,578.06/35,345.77
  6. Step 6: Final answer
    x = 17,483.81

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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.