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Finding the Fourth Proportional to 31,710.77, 43,763.36 and 17,564.93

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Solution

The fourth proportional to 31,710.77, 43,763.36 and 17,564.93 is: 24,240.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,710.77 : 43,763.36 = 17,564.93 : x
  2. Step 2: Convert to fraction form
    31,710.77/43,763.36 = 17,564.93/x
  3. Step 3: Cross multiply
    31,710.77x = 43,763.36 × 17,564.93
  4. Step 4: Simplify right side
    31,710.77x = 768,700,267.14
  5. Step 5: Solve for x
    x = 768,700,267.14/31,710.77
  6. Step 6: Final answer
    x = 24,240.98

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