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Finding the Fourth Proportional to 76,656.60, 114,984.90 and 46,589.40

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Solution

The fourth proportional to 76,656.60, 114,984.90 and 46,589.40 is: 69,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,656.60 : 114,984.90 = 46,589.40 : x
  2. Step 2: Convert to fraction form
    76,656.60/114,984.90 = 46,589.40/x
  3. Step 3: Cross multiply
    76,656.60x = 114,984.90 × 46,589.40
  4. Step 4: Simplify right side
    76,656.60x = 5,357,077,500.06
  5. Step 5: Solve for x
    x = 5,357,077,500.06/76,656.60
  6. Step 6: Final answer
    x = 69,884.10

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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.