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Finding the Fourth Proportional to 51,659.68, 77,312.57 and 35,882.50

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Solution

The fourth proportional to 51,659.68, 77,312.57 and 35,882.50 is: 53,700.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,659.68 : 77,312.57 = 35,882.50 : x
  2. Step 2: Convert to fraction form
    51,659.68/77,312.57 = 35,882.50/x
  3. Step 3: Cross multiply
    51,659.68x = 77,312.57 × 35,882.50
  4. Step 4: Simplify right side
    51,659.68x = 2,774,168,189.45
  5. Step 5: Solve for x
    x = 2,774,168,189.45/51,659.68
  6. Step 6: Final answer
    x = 53,700.84

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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.