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Finding the Fourth Proportional to 77,886.46, 116,746.26 and 55,632.34

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Solution

The fourth proportional to 77,886.46, 116,746.26 and 55,632.34 is: 83,388.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,886.46 : 116,746.26 = 55,632.34 : x
  2. Step 2: Convert to fraction form
    77,886.46/116,746.26 = 55,632.34/x
  3. Step 3: Cross multiply
    77,886.46x = 116,746.26 × 55,632.34
  4. Step 4: Simplify right side
    77,886.46x = 6,494,867,630.05
  5. Step 5: Solve for x
    x = 6,494,867,630.05/77,886.46
  6. Step 6: Final answer
    x = 83,388.92

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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.