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Finding the Fourth Proportional to 76,176.02, 105,122.63 and 42,642.02

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Solution

The fourth proportional to 76,176.02, 105,122.63 and 42,642.02 is: 58,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,176.02 : 105,122.63 = 42,642.02 : x
  2. Step 2: Convert to fraction form
    76,176.02/105,122.63 = 42,642.02/x
  3. Step 3: Cross multiply
    76,176.02x = 105,122.63 × 42,642.02
  4. Step 4: Simplify right side
    76,176.02x = 4,482,641,660.32
  5. Step 5: Solve for x
    x = 4,482,641,660.32/76,176.02
  6. Step 6: Final answer
    x = 58,845.84

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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.