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Finding the Fourth Proportional to 97,295.94, 145,980.36 and 34,120.80

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Solution

The fourth proportional to 97,295.94, 145,980.36 and 34,120.80 is: 51,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,295.94 : 145,980.36 = 34,120.80 : x
  2. Step 2: Convert to fraction form
    97,295.94/145,980.36 = 34,120.80/x
  3. Step 3: Cross multiply
    97,295.94x = 145,980.36 × 34,120.80
  4. Step 4: Simplify right side
    97,295.94x = 4,980,966,667.49
  5. Step 5: Solve for x
    x = 4,980,966,667.49/97,295.94
  6. Step 6: Final answer
    x = 51,193.98

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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.