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Finding the Fourth Proportional to 75,808.17, 113,712.26 and 42,551.60

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Solution

The fourth proportional to 75,808.17, 113,712.26 and 42,551.60 is: 63,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,808.17 : 113,712.26 = 42,551.60 : x
  2. Step 2: Convert to fraction form
    75,808.17/113,712.26 = 42,551.60/x
  3. Step 3: Cross multiply
    75,808.17x = 113,712.26 × 42,551.60
  4. Step 4: Simplify right side
    75,808.17x = 4,838,638,602.62
  5. Step 5: Solve for x
    x = 4,838,638,602.62/75,808.17
  6. Step 6: Final answer
    x = 63,827.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.