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Finding the Fourth Proportional to 76,238.01, 105,208.46 and 42,704.01

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Solution

The fourth proportional to 76,238.01, 105,208.46 and 42,704.01 is: 58,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,238.01 : 105,208.46 = 42,704.01 : x
  2. Step 2: Convert to fraction form
    76,238.01/105,208.46 = 42,704.01/x
  3. Step 3: Cross multiply
    76,238.01x = 105,208.46 × 42,704.01
  4. Step 4: Simplify right side
    76,238.01x = 4,492,823,127.92
  5. Step 5: Solve for x
    x = 4,492,823,127.92/76,238.01
  6. Step 6: Final answer
    x = 58,931.54

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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.