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Finding the Fourth Proportional to 52,005.60, 78,008.40 and 45,979.20

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Solution

The fourth proportional to 52,005.60, 78,008.40 and 45,979.20 is: 68,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005.60 : 78,008.40 = 45,979.20 : x
  2. Step 2: Convert to fraction form
    52,005.60/78,008.40 = 45,979.20/x
  3. Step 3: Cross multiply
    52,005.60x = 78,008.40 × 45,979.20
  4. Step 4: Simplify right side
    52,005.60x = 3,586,763,825.28
  5. Step 5: Solve for x
    x = 3,586,763,825.28/52,005.60
  6. Step 6: Final answer
    x = 68,968.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.