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Finding the Fourth Proportional to 77,124.60, 115,514.10 and 46,020.60

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Solution

The fourth proportional to 77,124.60, 115,514.10 and 46,020.60 is: 68,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,124.60 : 115,514.10 = 46,020.60 : x
  2. Step 2: Convert to fraction form
    77,124.60/115,514.10 = 46,020.60/x
  3. Step 3: Cross multiply
    77,124.60x = 115,514.10 × 46,020.60
  4. Step 4: Simplify right side
    77,124.60x = 5,316,028,190.46
  5. Step 5: Solve for x
    x = 5,316,028,190.46/77,124.60
  6. Step 6: Final answer
    x = 68,927.79

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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.