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Finding the Fourth Proportional to 52,006.30, 78,009.45 and 43,258.30

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Solution

The fourth proportional to 52,006.30, 78,009.45 and 43,258.30 is: 64,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.30 : 78,009.45 = 43,258.30 : x
  2. Step 2: Convert to fraction form
    52,006.30/78,009.45 = 43,258.30/x
  3. Step 3: Cross multiply
    52,006.30x = 78,009.45 × 43,258.30
  4. Step 4: Simplify right side
    52,006.30x = 3,374,556,190.94
  5. Step 5: Solve for x
    x = 3,374,556,190.94/52,006.30
  6. Step 6: Final answer
    x = 64,887.45

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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.