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Finding the Fourth Proportional to 76,880.40, 115,320.60 and 41,888.40

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Solution

The fourth proportional to 76,880.40, 115,320.60 and 41,888.40 is: 62,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,880.40 : 115,320.60 = 41,888.40 : x
  2. Step 2: Convert to fraction form
    76,880.40/115,320.60 = 41,888.40/x
  3. Step 3: Cross multiply
    76,880.40x = 115,320.60 × 41,888.40
  4. Step 4: Simplify right side
    76,880.40x = 4,830,595,421.04
  5. Step 5: Solve for x
    x = 4,830,595,421.04/76,880.40
  6. Step 6: Final answer
    x = 62,832.60

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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.