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Finding the Fourth Proportional to 75,056, 103,577.28 and 41,524.16

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Solution

The fourth proportional to 75,056, 103,577.28 and 41,524.16 is: 57,303.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,056 : 103,577.28 = 41,524.16 : x
  2. Step 2: Convert to fraction form
    75,056/103,577.28 = 41,524.16/x
  3. Step 3: Cross multiply
    75,056x = 103,577.28 × 41,524.16
  4. Step 4: Simplify right side
    75,056x = 4,300,959,547.08
  5. Step 5: Solve for x
    x = 4,300,959,547.08/75,056
  6. Step 6: Final answer
    x = 57,303.34

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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.