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Finding the Fourth Proportional to 75,357.68, 113,055.48 and 53,214.30

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Solution

The fourth proportional to 75,357.68, 113,055.48 and 53,214.30 is: 79,834.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,357.68 : 113,055.48 = 53,214.30 : x
  2. Step 2: Convert to fraction form
    75,357.68/113,055.48 = 53,214.30/x
  3. Step 3: Cross multiply
    75,357.68x = 113,055.48 × 53,214.30
  4. Step 4: Simplify right side
    75,357.68x = 6,016,168,229.36
  5. Step 5: Solve for x
    x = 6,016,168,229.36/75,357.68
  6. Step 6: Final answer
    x = 79,834.84

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1.5x scale

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.