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Finding the Fourth Proportional to 75,547, 104,254.86 and 42,013

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Solution

The fourth proportional to 75,547, 104,254.86 and 42,013 is: 57,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,547 : 104,254.86 = 42,013 : x
  2. Step 2: Convert to fraction form
    75,547/104,254.86 = 42,013/x
  3. Step 3: Cross multiply
    75,547x = 104,254.86 × 42,013
  4. Step 4: Simplify right side
    75,547x = 4,380,059,433.18
  5. Step 5: Solve for x
    x = 4,380,059,433.18/75,547
  6. Step 6: Final answer
    x = 57,977.94

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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.