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Finding the Fourth Proportional to 52,412.54, 78,495.62 and 45,570.60

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Solution

The fourth proportional to 52,412.54, 78,495.62 and 45,570.60 is: 68,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,412.54 : 78,495.62 = 45,570.60 : x
  2. Step 2: Convert to fraction form
    52,412.54/78,495.62 = 45,570.60/x
  3. Step 3: Cross multiply
    52,412.54x = 78,495.62 × 45,570.60
  4. Step 4: Simplify right side
    52,412.54x = 3,577,092,272.92
  5. Step 5: Solve for x
    x = 3,577,092,272.92/52,412.54
  6. Step 6: Final answer
    x = 68,248.79

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Why These Related Problems?

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