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Finding the Fourth Proportional to 30,707.88, 46,071.54 and 10,986

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Solution

The fourth proportional to 30,707.88, 46,071.54 and 10,986 is: 16,482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,707.88 : 46,071.54 = 10,986 : x
  2. Step 2: Convert to fraction form
    30,707.88/46,071.54 = 10,986/x
  3. Step 3: Cross multiply
    30,707.88x = 46,071.54 × 10,986
  4. Step 4: Simplify right side
    30,707.88x = 506,141,938.44
  5. Step 5: Solve for x
    x = 506,141,938.44/30,707.88
  6. Step 6: Final answer
    x = 16,482.48

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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.