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Finding the Fourth Proportional to 31,770.16, 47,657.46 and 13,051.14

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Solution

The fourth proportional to 31,770.16, 47,657.46 and 13,051.14 is: 19,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,770.16 : 47,657.46 = 13,051.14 : x
  2. Step 2: Convert to fraction form
    31,770.16/47,657.46 = 13,051.14/x
  3. Step 3: Cross multiply
    31,770.16x = 47,657.46 × 13,051.14
  4. Step 4: Simplify right side
    31,770.16x = 621,984,182.50
  5. Step 5: Solve for x
    x = 621,984,182.50/31,770.16
  6. Step 6: Final answer
    x = 19,577.62

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Why These Related Problems?

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