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Finding the Fourth Proportional to 77,535.04, 107,015.04 and 47,313.91

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Solution

The fourth proportional to 77,535.04, 107,015.04 and 47,313.91 is: 65,303.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,535.04 : 107,015.04 = 47,313.91 : x
  2. Step 2: Convert to fraction form
    77,535.04/107,015.04 = 47,313.91/x
  3. Step 3: Cross multiply
    77,535.04x = 107,015.04 × 47,313.91
  4. Step 4: Simplify right side
    77,535.04x = 5,063,299,971.21
  5. Step 5: Solve for x
    x = 5,063,299,971.21/77,535.04
  6. Step 6: Final answer
    x = 65,303.38

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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.