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Finding the Fourth Proportional to 76,207.76, 105,166.56 and 42,673.76

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Solution

The fourth proportional to 76,207.76, 105,166.56 and 42,673.76 is: 58,889.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,207.76 : 105,166.56 = 42,673.76 : x
  2. Step 2: Convert to fraction form
    76,207.76/105,166.56 = 42,673.76/x
  3. Step 3: Cross multiply
    76,207.76x = 105,166.56 × 42,673.76
  4. Step 4: Simplify right side
    76,207.76x = 4,487,852,541.47
  5. Step 5: Solve for x
    x = 4,487,852,541.47/76,207.76
  6. Step 6: Final answer
    x = 58,889.71

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1.5x scale

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.