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Finding the Fourth Proportional to 106,410, 159,615.80 and 47,229.76

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Solution

The fourth proportional to 106,410, 159,615.80 and 47,229.76 is: 70,845.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,410 : 159,615.80 = 47,229.76 : x
  2. Step 2: Convert to fraction form
    106,410/159,615.80 = 47,229.76/x
  3. Step 3: Cross multiply
    106,410x = 159,615.80 × 47,229.76
  4. Step 4: Simplify right side
    106,410x = 7,538,615,926.21
  5. Step 5: Solve for x
    x = 7,538,615,926.21/106,410
  6. Step 6: Final answer
    x = 70,845.00

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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.