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Finding the Fourth Proportional to 77,007.54, 106,270.12 and 44,746.86

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Solution

The fourth proportional to 77,007.54, 106,270.12 and 44,746.86 is: 61,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,007.54 : 106,270.12 = 44,746.86 : x
  2. Step 2: Convert to fraction form
    77,007.54/106,270.12 = 44,746.86/x
  3. Step 3: Cross multiply
    77,007.54x = 106,270.12 × 44,746.86
  4. Step 4: Simplify right side
    77,007.54x = 4,755,254,181.82
  5. Step 5: Solve for x
    x = 4,755,254,181.82/77,007.54
  6. Step 6: Final answer
    x = 61,750.50

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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.