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Finding the Fourth Proportional to 47,254.68, 70,784.82 and 34,133.40

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Solution

The fourth proportional to 47,254.68, 70,784.82 and 34,133.40 is: 51,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,254.68 : 70,784.82 = 34,133.40 : x
  2. Step 2: Convert to fraction form
    47,254.68/70,784.82 = 34,133.40/x
  3. Step 3: Cross multiply
    47,254.68x = 70,784.82 × 34,133.40
  4. Step 4: Simplify right side
    47,254.68x = 2,416,126,574.99
  5. Step 5: Solve for x
    x = 2,416,126,574.99/47,254.68
  6. Step 6: Final answer
    x = 51,129.89

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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.