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Finding the Fourth Proportional to 75,100.64, 103,528.48 and 57,164.40

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Solution

The fourth proportional to 75,100.64, 103,528.48 and 57,164.40 is: 78,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,100.64 : 103,528.48 = 57,164.40 : x
  2. Step 2: Convert to fraction form
    75,100.64/103,528.48 = 57,164.40/x
  3. Step 3: Cross multiply
    75,100.64x = 103,528.48 × 57,164.40
  4. Step 4: Simplify right side
    75,100.64x = 5,918,143,442.11
  5. Step 5: Solve for x
    x = 5,918,143,442.11/75,100.64
  6. Step 6: Final answer
    x = 78,802.84

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