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Finding the Fourth Proportional to 76,096.84, 105,009.30 and 42,103.40

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Solution

The fourth proportional to 76,096.84, 105,009.30 and 42,103.40 is: 58,100.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,096.84 : 105,009.30 = 42,103.40 : x
  2. Step 2: Convert to fraction form
    76,096.84/105,009.30 = 42,103.40/x
  3. Step 3: Cross multiply
    76,096.84x = 105,009.30 × 42,103.40
  4. Step 4: Simplify right side
    76,096.84x = 4,421,248,561.62
  5. Step 5: Solve for x
    x = 4,421,248,561.62/76,096.84
  6. Step 6: Final answer
    x = 58,100.29

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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.