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Finding the Fourth Proportional to 75,066.75, 103,577.94 and 46,411.38

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Solution

The fourth proportional to 75,066.75, 103,577.94 and 46,411.38 is: 64,038.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,066.75 : 103,577.94 = 46,411.38 : x
  2. Step 2: Convert to fraction form
    75,066.75/103,577.94 = 46,411.38/x
  3. Step 3: Cross multiply
    75,066.75x = 103,577.94 × 46,411.38
  4. Step 4: Simplify right side
    75,066.75x = 4,807,195,132.96
  5. Step 5: Solve for x
    x = 4,807,195,132.96/75,066.75
  6. Step 6: Final answer
    x = 64,038.94

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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.