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Finding the Fourth Proportional to 30,713.32, 46,055.76 and 10,987.32

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Solution

The fourth proportional to 30,713.32, 46,055.76 and 10,987.32 is: 16,475.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,713.32 : 46,055.76 = 10,987.32 : x
  2. Step 2: Convert to fraction form
    30,713.32/46,055.76 = 10,987.32/x
  3. Step 3: Cross multiply
    30,713.32x = 46,055.76 × 10,987.32
  4. Step 4: Simplify right side
    30,713.32x = 506,029,372.96
  5. Step 5: Solve for x
    x = 506,029,372.96/30,713.32
  6. Step 6: Final answer
    x = 16,475.89

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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.