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Finding the Fourth Proportional to 76,546.64, 114,802.68 and 27,298.64

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Solution

The fourth proportional to 76,546.64, 114,802.68 and 27,298.64 is: 40,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546.64 : 114,802.68 = 27,298.64 : x
  2. Step 2: Convert to fraction form
    76,546.64/114,802.68 = 27,298.64/x
  3. Step 3: Cross multiply
    76,546.64x = 114,802.68 × 27,298.64
  4. Step 4: Simplify right side
    76,546.64x = 3,133,957,032.36
  5. Step 5: Solve for x
    x = 3,133,957,032.36/76,546.64
  6. Step 6: Final answer
    x = 40,941.80

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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.