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Finding the Fourth Proportional to 31,054.32, 42,855.84 and 16,907.40

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Solution

The fourth proportional to 31,054.32, 42,855.84 and 16,907.40 is: 23,332.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.32 : 42,855.84 = 16,907.40 : x
  2. Step 2: Convert to fraction form
    31,054.32/42,855.84 = 16,907.40/x
  3. Step 3: Cross multiply
    31,054.32x = 42,855.84 × 16,907.40
  4. Step 4: Simplify right side
    31,054.32x = 724,580,829.22
  5. Step 5: Solve for x
    x = 724,580,829.22/31,054.32
  6. Step 6: Final answer
    x = 23,332.69

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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.