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Finding the Fourth Proportional to 75,880.40, 113,820.60 and 29,134.40

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Solution

The fourth proportional to 75,880.40, 113,820.60 and 29,134.40 is: 43,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880.40 : 113,820.60 = 29,134.40 : x
  2. Step 2: Convert to fraction form
    75,880.40/113,820.60 = 29,134.40/x
  3. Step 3: Cross multiply
    75,880.40x = 113,820.60 × 29,134.40
  4. Step 4: Simplify right side
    75,880.40x = 3,316,094,888.64
  5. Step 5: Solve for x
    x = 3,316,094,888.64/75,880.40
  6. Step 6: Final answer
    x = 43,701.60

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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.