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Finding the Fourth Proportional to 52,066.88, 71,859.36 and 31,935.68

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Solution

The fourth proportional to 52,066.88, 71,859.36 and 31,935.68 is: 44,075.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,066.88 : 71,859.36 = 31,935.68 : x
  2. Step 2: Convert to fraction form
    52,066.88/71,859.36 = 31,935.68/x
  3. Step 3: Cross multiply
    52,066.88x = 71,859.36 × 31,935.68
  4. Step 4: Simplify right side
    52,066.88x = 2,294,877,525.96
  5. Step 5: Solve for x
    x = 2,294,877,525.96/52,066.88
  6. Step 6: Final answer
    x = 44,075.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.