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Finding the Fourth Proportional to 75,967.92, 104,775.96 and 70,875

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Solution

The fourth proportional to 75,967.92, 104,775.96 and 70,875 is: 97,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967.92 : 104,775.96 = 70,875 : x
  2. Step 2: Convert to fraction form
    75,967.92/104,775.96 = 70,875/x
  3. Step 3: Cross multiply
    75,967.92x = 104,775.96 × 70,875
  4. Step 4: Simplify right side
    75,967.92x = 7,425,996,165
  5. Step 5: Solve for x
    x = 7,425,996,165/75,967.92
  6. Step 6: Final answer
    x = 97,751.74

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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.