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Finding the Fourth Proportional to 74,547, 102,874.86 and 41,013

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Solution

The fourth proportional to 74,547, 102,874.86 and 41,013 is: 56,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,547 : 102,874.86 = 41,013 : x
  2. Step 2: Convert to fraction form
    74,547/102,874.86 = 41,013/x
  3. Step 3: Cross multiply
    74,547x = 102,874.86 × 41,013
  4. Step 4: Simplify right side
    74,547x = 4,219,206,633.18
  5. Step 5: Solve for x
    x = 4,219,206,633.18/74,547
  6. Step 6: Final answer
    x = 56,597.94

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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.