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Finding the Fourth Proportional to 76,306.34, 105,309 and 42,325.52

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Solution

The fourth proportional to 76,306.34, 105,309 and 42,325.52 is: 58,412.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,306.34 : 105,309 = 42,325.52 : x
  2. Step 2: Convert to fraction form
    76,306.34/105,309 = 42,325.52/x
  3. Step 3: Cross multiply
    76,306.34x = 105,309 × 42,325.52
  4. Step 4: Simplify right side
    76,306.34x = 4,457,258,185.68
  5. Step 5: Solve for x
    x = 4,457,258,185.68/76,306.34
  6. Step 6: Final answer
    x = 58,412.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.