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Finding the Fourth Proportional to 76,417.34, 114,589.14 and 32,032.17

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Solution

The fourth proportional to 76,417.34, 114,589.14 and 32,032.17 is: 48,032.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,417.34 : 114,589.14 = 32,032.17 : x
  2. Step 2: Convert to fraction form
    76,417.34/114,589.14 = 32,032.17/x
  3. Step 3: Cross multiply
    76,417.34x = 114,589.14 × 32,032.17
  4. Step 4: Simplify right side
    76,417.34x = 3,670,538,812.63
  5. Step 5: Solve for x
    x = 3,670,538,812.63/76,417.34
  6. Step 6: Final answer
    x = 48,032.80

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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.