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Finding the Fourth Proportional to 77,308.84, 106,707.22 and 45,488

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Solution

The fourth proportional to 77,308.84, 106,707.22 and 45,488 is: 62,785.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,308.84 : 106,707.22 = 45,488 : x
  2. Step 2: Convert to fraction form
    77,308.84/106,707.22 = 45,488/x
  3. Step 3: Cross multiply
    77,308.84x = 106,707.22 × 45,488
  4. Step 4: Simplify right side
    77,308.84x = 4,853,898,023.36
  5. Step 5: Solve for x
    x = 4,853,898,023.36/77,308.84
  6. Step 6: Final answer
    x = 62,785.81

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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.