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Finding the Fourth Proportional to 75,448.40, 113,302.20 and 53,416.40

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Solution

The fourth proportional to 75,448.40, 113,302.20 and 53,416.40 is: 80,216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,448.40 : 113,302.20 = 53,416.40 : x
  2. Step 2: Convert to fraction form
    75,448.40/113,302.20 = 53,416.40/x
  3. Step 3: Cross multiply
    75,448.40x = 113,302.20 × 53,416.40
  4. Step 4: Simplify right side
    75,448.40x = 6,052,195,636.08
  5. Step 5: Solve for x
    x = 6,052,195,636.08/75,448.40
  6. Step 6: Final answer
    x = 80,216.35

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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.