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Finding the Fourth Proportional to 74,731.60, 112,097.40 and 27,978.40

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Solution

The fourth proportional to 74,731.60, 112,097.40 and 27,978.40 is: 41,967.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,731.60 : 112,097.40 = 27,978.40 : x
  2. Step 2: Convert to fraction form
    74,731.60/112,097.40 = 27,978.40/x
  3. Step 3: Cross multiply
    74,731.60x = 112,097.40 × 27,978.40
  4. Step 4: Simplify right side
    74,731.60x = 3,136,305,896.16
  5. Step 5: Solve for x
    x = 3,136,305,896.16/74,731.60
  6. Step 6: Final answer
    x = 41,967.60

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1.5x scale

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.