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Finding the Fourth Proportional to 75,746, 104,531.64 and 42,214.16

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Solution

The fourth proportional to 75,746, 104,531.64 and 42,214.16 is: 58,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,746 : 104,531.64 = 42,214.16 : x
  2. Step 2: Convert to fraction form
    75,746/104,531.64 = 42,214.16/x
  3. Step 3: Cross multiply
    75,746x = 104,531.64 × 42,214.16
  4. Step 4: Simplify right side
    75,746x = 4,412,715,376.02
  5. Step 5: Solve for x
    x = 4,412,715,376.02/75,746
  6. Step 6: Final answer
    x = 58,256.74

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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.