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Finding the Fourth Proportional to 51,474.96, 77,080.14 and 35,657.40

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Solution

The fourth proportional to 51,474.96, 77,080.14 and 35,657.40 is: 53,394.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,474.96 : 77,080.14 = 35,657.40 : x
  2. Step 2: Convert to fraction form
    51,474.96/77,080.14 = 35,657.40/x
  3. Step 3: Cross multiply
    51,474.96x = 77,080.14 × 35,657.40
  4. Step 4: Simplify right side
    51,474.96x = 2,748,477,384.04
  5. Step 5: Solve for x
    x = 2,748,477,384.04/51,474.96
  6. Step 6: Final answer
    x = 53,394.45

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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.