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Finding the Fourth Proportional to 52,035.48, 78,053.22 and 12,592.60

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Solution

The fourth proportional to 52,035.48, 78,053.22 and 12,592.60 is: 18,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.48 : 78,053.22 = 12,592.60 : x
  2. Step 2: Convert to fraction form
    52,035.48/78,053.22 = 12,592.60/x
  3. Step 3: Cross multiply
    52,035.48x = 78,053.22 × 12,592.60
  4. Step 4: Simplify right side
    52,035.48x = 982,892,587.91
  5. Step 5: Solve for x
    x = 982,892,587.91/52,035.48
  6. Step 6: Final answer
    x = 18,888.89

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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.