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Finding the Fourth Proportional to 72,656.93, 100,278.60 and 42,442.16

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Solution

The fourth proportional to 72,656.93, 100,278.60 and 42,442.16 is: 58,577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,656.93 : 100,278.60 = 42,442.16 : x
  2. Step 2: Convert to fraction form
    72,656.93/100,278.60 = 42,442.16/x
  3. Step 3: Cross multiply
    72,656.93x = 100,278.60 × 42,442.16
  4. Step 4: Simplify right side
    72,656.93x = 4,256,039,884.38
  5. Step 5: Solve for x
    x = 4,256,039,884.38/72,656.93
  6. Step 6: Final answer
    x = 58,577.21

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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.