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Finding the Fourth Proportional to 31,054.16, 42,854.74 and 16,907

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Solution

The fourth proportional to 31,054.16, 42,854.74 and 16,907 is: 23,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.16 : 42,854.74 = 16,907 : x
  2. Step 2: Convert to fraction form
    31,054.16/42,854.74 = 16,907/x
  3. Step 3: Cross multiply
    31,054.16x = 42,854.74 × 16,907
  4. Step 4: Simplify right side
    31,054.16x = 724,545,089.18
  5. Step 5: Solve for x
    x = 724,545,089.18/31,054.16
  6. Step 6: Final answer
    x = 23,331.66

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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.