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Finding the Fourth Proportional to 47,089.88, 70,569.14 and 35,389.40

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Solution

The fourth proportional to 47,089.88, 70,569.14 and 35,389.40 is: 53,034.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,089.88 : 70,569.14 = 35,389.40 : x
  2. Step 2: Convert to fraction form
    47,089.88/70,569.14 = 35,389.40/x
  3. Step 3: Cross multiply
    47,089.88x = 70,569.14 × 35,389.40
  4. Step 4: Simplify right side
    47,089.88x = 2,497,399,523.12
  5. Step 5: Solve for x
    x = 2,497,399,523.12/47,089.88
  6. Step 6: Final answer
    x = 53,034.74

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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.