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Finding the Fourth Proportional to 76,164.60, 114,320.68 and 36,749.40

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Solution

The fourth proportional to 76,164.60, 114,320.68 and 36,749.40 is: 55,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,164.60 : 114,320.68 = 36,749.40 : x
  2. Step 2: Convert to fraction form
    76,164.60/114,320.68 = 36,749.40/x
  3. Step 3: Cross multiply
    76,164.60x = 114,320.68 × 36,749.40
  4. Step 4: Simplify right side
    76,164.60x = 4,201,216,397.59
  5. Step 5: Solve for x
    x = 4,201,216,397.59/76,164.60
  6. Step 6: Final answer
    x = 55,159.70

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1.5x scale

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.