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Finding the Fourth Proportional to 31,207.39, 46,810.06 and 12,482.40

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Solution

The fourth proportional to 31,207.39, 46,810.06 and 12,482.40 is: 18,723.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,207.39 : 46,810.06 = 12,482.40 : x
  2. Step 2: Convert to fraction form
    31,207.39/46,810.06 = 12,482.40/x
  3. Step 3: Cross multiply
    31,207.39x = 46,810.06 × 12,482.40
  4. Step 4: Simplify right side
    31,207.39x = 584,301,892.94
  5. Step 5: Solve for x
    x = 584,301,892.94/31,207.39
  6. Step 6: Final answer
    x = 18,723.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.