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Finding the Fourth Proportional to 97,603.02, 146,403 and 31,042.20

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Solution

The fourth proportional to 97,603.02, 146,403 and 31,042.20 is: 46,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,603.02 : 146,403 = 31,042.20 : x
  2. Step 2: Convert to fraction form
    97,603.02/146,403 = 31,042.20/x
  3. Step 3: Cross multiply
    97,603.02x = 146,403 × 31,042.20
  4. Step 4: Simplify right side
    97,603.02x = 4,544,671,206.60
  5. Step 5: Solve for x
    x = 4,544,671,206.60/97,603.02
  6. Step 6: Final answer
    x = 46,562.81

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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.