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Finding the Fourth Proportional to 47,497.59, 71,270.99 and 34,457.60

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Solution

The fourth proportional to 47,497.59, 71,270.99 and 34,457.60 is: 51,704.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,497.59 : 71,270.99 = 34,457.60 : x
  2. Step 2: Convert to fraction form
    47,497.59/71,270.99 = 34,457.60/x
  3. Step 3: Cross multiply
    47,497.59x = 71,270.99 × 34,457.60
  4. Step 4: Simplify right side
    47,497.59x = 2,455,827,400.13
  5. Step 5: Solve for x
    x = 2,455,827,400.13/47,497.59
  6. Step 6: Final answer
    x = 51,704.25

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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.