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Finding the Fourth Proportional to 98,882.82, 136,482.72 and 56,465.96

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Solution

The fourth proportional to 98,882.82, 136,482.72 and 56,465.96 is: 77,936.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,882.82 : 136,482.72 = 56,465.96 : x
  2. Step 2: Convert to fraction form
    98,882.82/136,482.72 = 56,465.96/x
  3. Step 3: Cross multiply
    98,882.82x = 136,482.72 × 56,465.96
  4. Step 4: Simplify right side
    98,882.82x = 7,706,627,808.21
  5. Step 5: Solve for x
    x = 7,706,627,808.21/98,882.82
  6. Step 6: Final answer
    x = 77,936.97

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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.