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Finding the Fourth Proportional to 97,064.99, 145,597.38 and 30,510.93

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Solution

The fourth proportional to 97,064.99, 145,597.38 and 30,510.93 is: 45,766.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,064.99 : 145,597.38 = 30,510.93 : x
  2. Step 2: Convert to fraction form
    97,064.99/145,597.38 = 30,510.93/x
  3. Step 3: Cross multiply
    97,064.99x = 145,597.38 × 30,510.93
  4. Step 4: Simplify right side
    97,064.99x = 4,442,311,469.36
  5. Step 5: Solve for x
    x = 4,442,311,469.36/97,064.99
  6. Step 6: Final answer
    x = 45,766.36

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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.