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Finding the Fourth Proportional to 76,154.40, 105,095.16 and 42,620.40

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Solution

The fourth proportional to 76,154.40, 105,095.16 and 42,620.40 is: 58,817.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,154.40 : 105,095.16 = 42,620.40 : x
  2. Step 2: Convert to fraction form
    76,154.40/105,095.16 = 42,620.40/x
  3. Step 3: Cross multiply
    76,154.40x = 105,095.16 × 42,620.40
  4. Step 4: Simplify right side
    76,154.40x = 4,479,197,757.26
  5. Step 5: Solve for x
    x = 4,479,197,757.26/76,154.40
  6. Step 6: Final answer
    x = 58,817.32

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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.