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Finding the Fourth Proportional to 70,585.92, 105,897.24 and 26,225.46

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Solution

The fourth proportional to 70,585.92, 105,897.24 and 26,225.46 is: 39,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,585.92 : 105,897.24 = 26,225.46 : x
  2. Step 2: Convert to fraction form
    70,585.92/105,897.24 = 26,225.46/x
  3. Step 3: Cross multiply
    70,585.92x = 105,897.24 × 26,225.46
  4. Step 4: Simplify right side
    70,585.92x = 2,777,203,831.73
  5. Step 5: Solve for x
    x = 2,777,203,831.73/70,585.92
  6. Step 6: Final answer
    x = 39,345.01

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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.