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Finding the Fourth Proportional to 76,591.16, 114,886.78 and 35,009

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Solution

The fourth proportional to 76,591.16, 114,886.78 and 35,009 is: 52,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,591.16 : 114,886.78 = 35,009 : x
  2. Step 2: Convert to fraction form
    76,591.16/114,886.78 = 35,009/x
  3. Step 3: Cross multiply
    76,591.16x = 114,886.78 × 35,009
  4. Step 4: Simplify right side
    76,591.16x = 4,022,071,281.02
  5. Step 5: Solve for x
    x = 4,022,071,281.02/76,591.16
  6. Step 6: Final answer
    x = 52,513.52

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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.