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Finding the Fourth Proportional to 56,461.38, 77,882.49 and 37,341.06

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Solution

The fourth proportional to 56,461.38, 77,882.49 and 37,341.06 is: 51,508.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,461.38 : 77,882.49 = 37,341.06 : x
  2. Step 2: Convert to fraction form
    56,461.38/77,882.49 = 37,341.06/x
  3. Step 3: Cross multiply
    56,461.38x = 77,882.49 × 37,341.06
  4. Step 4: Simplify right side
    56,461.38x = 2,908,214,732.04
  5. Step 5: Solve for x
    x = 2,908,214,732.04/56,461.38
  6. Step 6: Final answer
    x = 51,508.03

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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.