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Finding the Fourth Proportional to 31,065.94, 42,870.63 and 17,637.58

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Solution

The fourth proportional to 31,065.94, 42,870.63 and 17,637.58 is: 24,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.94 : 42,870.63 = 17,637.58 : x
  2. Step 2: Convert to fraction form
    31,065.94/42,870.63 = 17,637.58/x
  3. Step 3: Cross multiply
    31,065.94x = 42,870.63 × 17,637.58
  4. Step 4: Simplify right side
    31,065.94x = 756,134,166.28
  5. Step 5: Solve for x
    x = 756,134,166.28/31,065.94
  6. Step 6: Final answer
    x = 24,339.65

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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.