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Finding the Fourth Proportional to 76,688.64, 114,994.08 and 35,100

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Solution

The fourth proportional to 76,688.64, 114,994.08 and 35,100 is: 52,632.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.64 : 114,994.08 = 35,100 : x
  2. Step 2: Convert to fraction form
    76,688.64/114,994.08 = 35,100/x
  3. Step 3: Cross multiply
    76,688.64x = 114,994.08 × 35,100
  4. Step 4: Simplify right side
    76,688.64x = 4,036,292,208
  5. Step 5: Solve for x
    x = 4,036,292,208/76,688.64
  6. Step 6: Final answer
    x = 52,632.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.