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Finding the Fourth Proportional to 77,988.48, 107,645.76 and 46,168.32

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Solution

The fourth proportional to 77,988.48, 107,645.76 and 46,168.32 is: 63,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,988.48 : 107,645.76 = 46,168.32 : x
  2. Step 2: Convert to fraction form
    77,988.48/107,645.76 = 46,168.32/x
  3. Step 3: Cross multiply
    77,988.48x = 107,645.76 × 46,168.32
  4. Step 4: Simplify right side
    77,988.48x = 4,969,823,894.32
  5. Step 5: Solve for x
    x = 4,969,823,894.32/77,988.48
  6. Step 6: Final answer
    x = 63,725.10

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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.