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Finding the Fourth Proportional to 77,484.48, 116,126.81 and 37,494.07

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Solution

The fourth proportional to 77,484.48, 116,126.81 and 37,494.07 is: 56,192.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,484.48 : 116,126.81 = 37,494.07 : x
  2. Step 2: Convert to fraction form
    77,484.48/116,126.81 = 37,494.07/x
  3. Step 3: Cross multiply
    77,484.48x = 116,126.81 × 37,494.07
  4. Step 4: Simplify right side
    77,484.48x = 4,354,066,743.02
  5. Step 5: Solve for x
    x = 4,354,066,743.02/77,484.48
  6. Step 6: Final answer
    x = 56,192.76

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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.