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Finding the Fourth Proportional to 105,457.34, 145,530.86 and 57,710.27

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Solution

The fourth proportional to 105,457.34, 145,530.86 and 57,710.27 is: 79,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,457.34 : 145,530.86 = 57,710.27 : x
  2. Step 2: Convert to fraction form
    105,457.34/145,530.86 = 57,710.27/x
  3. Step 3: Cross multiply
    105,457.34x = 145,530.86 × 57,710.27
  4. Step 4: Simplify right side
    105,457.34x = 8,398,624,207.73
  5. Step 5: Solve for x
    x = 8,398,624,207.73/105,457.34
  6. Step 6: Final answer
    x = 79,640.02

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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.