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Finding the Fourth Proportional to 77,001, 115,547.58 and 33,225

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Solution

The fourth proportional to 77,001, 115,547.58 and 33,225 is: 49,857.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,001 : 115,547.58 = 33,225 : x
  2. Step 2: Convert to fraction form
    77,001/115,547.58 = 33,225/x
  3. Step 3: Cross multiply
    77,001x = 115,547.58 × 33,225
  4. Step 4: Simplify right side
    77,001x = 3,839,068,345.50
  5. Step 5: Solve for x
    x = 3,839,068,345.50/77,001
  6. Step 6: Final answer
    x = 49,857.38

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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.