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Finding the Fourth Proportional to 78,507.80, 108,302.62 and 46,654.14

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Solution

The fourth proportional to 78,507.80, 108,302.62 and 46,654.14 is: 64,360.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,507.80 : 108,302.62 = 46,654.14 : x
  2. Step 2: Convert to fraction form
    78,507.80/108,302.62 = 46,654.14/x
  3. Step 3: Cross multiply
    78,507.80x = 108,302.62 × 46,654.14
  4. Step 4: Simplify right side
    78,507.80x = 5,052,765,362.58
  5. Step 5: Solve for x
    x = 5,052,765,362.58/78,507.80
  6. Step 6: Final answer
    x = 64,360.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.