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Finding the Fourth Proportional to 76,302.13, 105,383.16 and 52,061.50

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Solution

The fourth proportional to 76,302.13, 105,383.16 and 52,061.50 is: 71,903.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302.13 : 105,383.16 = 52,061.50 : x
  2. Step 2: Convert to fraction form
    76,302.13/105,383.16 = 52,061.50/x
  3. Step 3: Cross multiply
    76,302.13x = 105,383.16 × 52,061.50
  4. Step 4: Simplify right side
    76,302.13x = 5,486,405,384.34
  5. Step 5: Solve for x
    x = 5,486,405,384.34/76,302.13
  6. Step 6: Final answer
    x = 71,903.70

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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.