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Finding the Fourth Proportional to 96,904.36, 145,325.82 and 31,225

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Solution

The fourth proportional to 96,904.36, 145,325.82 and 31,225 is: 46,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904.36 : 145,325.82 = 31,225 : x
  2. Step 2: Convert to fraction form
    96,904.36/145,325.82 = 31,225/x
  3. Step 3: Cross multiply
    96,904.36x = 145,325.82 × 31,225
  4. Step 4: Simplify right side
    96,904.36x = 4,537,798,729.50
  5. Step 5: Solve for x
    x = 4,537,798,729.50/96,904.36
  6. Step 6: Final answer
    x = 46,827.60

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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.