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Finding the Fourth Proportional to 49,764.60, 74,646.90 and 43,349.40

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Solution

The fourth proportional to 49,764.60, 74,646.90 and 43,349.40 is: 65,024.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,764.60 : 74,646.90 = 43,349.40 : x
  2. Step 2: Convert to fraction form
    49,764.60/74,646.90 = 43,349.40/x
  3. Step 3: Cross multiply
    49,764.60x = 74,646.90 × 43,349.40
  4. Step 4: Simplify right side
    49,764.60x = 3,235,898,326.86
  5. Step 5: Solve for x
    x = 3,235,898,326.86/49,764.60
  6. Step 6: Final answer
    x = 65,024.10

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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.