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Finding the Fourth Proportional to 76,405.16, 114,652.35 and 32,028.50

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Solution

The fourth proportional to 76,405.16, 114,652.35 and 32,028.50 is: 48,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405.16 : 114,652.35 = 32,028.50 : x
  2. Step 2: Convert to fraction form
    76,405.16/114,652.35 = 32,028.50/x
  3. Step 3: Cross multiply
    76,405.16x = 114,652.35 × 32,028.50
  4. Step 4: Simplify right side
    76,405.16x = 3,672,142,218.71
  5. Step 5: Solve for x
    x = 3,672,142,218.71/76,405.16
  6. Step 6: Final answer
    x = 48,061.45

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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.