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Finding the Fourth Proportional to 94,213.94, 130,014.84 and 53,927.50

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Solution

The fourth proportional to 94,213.94, 130,014.84 and 53,927.50 is: 74,419.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,213.94 : 130,014.84 = 53,927.50 : x
  2. Step 2: Convert to fraction form
    94,213.94/130,014.84 = 53,927.50/x
  3. Step 3: Cross multiply
    94,213.94x = 130,014.84 × 53,927.50
  4. Step 4: Simplify right side
    94,213.94x = 7,011,375,284.10
  5. Step 5: Solve for x
    x = 7,011,375,284.10/94,213.94
  6. Step 6: Final answer
    x = 74,419.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.