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Finding the Fourth Proportional to 75,241.16, 103,843.36 and 46,570.01

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Solution

The fourth proportional to 75,241.16, 103,843.36 and 46,570.01 is: 64,273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,241.16 : 103,843.36 = 46,570.01 : x
  2. Step 2: Convert to fraction form
    75,241.16/103,843.36 = 46,570.01/x
  3. Step 3: Cross multiply
    75,241.16x = 103,843.36 × 46,570.01
  4. Step 4: Simplify right side
    75,241.16x = 4,835,985,852.63
  5. Step 5: Solve for x
    x = 4,835,985,852.63/75,241.16
  6. Step 6: Final answer
    x = 64,273.15

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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.