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Finding the Fourth Proportional to 78,564.68, 117,848.86 and 22,409.82

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Solution

The fourth proportional to 78,564.68, 117,848.86 and 22,409.82 is: 33,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564.68 : 117,848.86 = 22,409.82 : x
  2. Step 2: Convert to fraction form
    78,564.68/117,848.86 = 22,409.82/x
  3. Step 3: Cross multiply
    78,564.68x = 117,848.86 × 22,409.82
  4. Step 4: Simplify right side
    78,564.68x = 2,640,971,739.81
  5. Step 5: Solve for x
    x = 2,640,971,739.81/78,564.68
  6. Step 6: Final answer
    x = 33,615.25

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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.