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Finding the Fourth Proportional to 31,137.59, 42,970.82 and 17,710.77

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Solution

The fourth proportional to 31,137.59, 42,970.82 and 17,710.77 is: 24,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,137.59 : 42,970.82 = 17,710.77 : x
  2. Step 2: Convert to fraction form
    31,137.59/42,970.82 = 17,710.77/x
  3. Step 3: Cross multiply
    31,137.59x = 42,970.82 × 17,710.77
  4. Step 4: Simplify right side
    31,137.59x = 761,046,221.18
  5. Step 5: Solve for x
    x = 761,046,221.18/31,137.59
  6. Step 6: Final answer
    x = 24,441.40

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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.