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Finding the Fourth Proportional to 82,567.89, 113,978.54 and 55,746.70

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Solution

The fourth proportional to 82,567.89, 113,978.54 and 55,746.70 is: 76,953.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,567.89 : 113,978.54 = 55,746.70 : x
  2. Step 2: Convert to fraction form
    82,567.89/113,978.54 = 55,746.70/x
  3. Step 3: Cross multiply
    82,567.89x = 113,978.54 × 55,746.70
  4. Step 4: Simplify right side
    82,567.89x = 6,353,927,330.24
  5. Step 5: Solve for x
    x = 6,353,927,330.24/82,567.89
  6. Step 6: Final answer
    x = 76,953.97

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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.