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Finding the Fourth Proportional to 97,289.25, 145,933.92 and 23,417.25

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Solution

The fourth proportional to 97,289.25, 145,933.92 and 23,417.25 is: 35,125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,289.25 : 145,933.92 = 23,417.25 : x
  2. Step 2: Convert to fraction form
    97,289.25/145,933.92 = 23,417.25/x
  3. Step 3: Cross multiply
    97,289.25x = 145,933.92 × 23,417.25
  4. Step 4: Simplify right side
    97,289.25x = 3,417,371,088.12
  5. Step 5: Solve for x
    x = 3,417,371,088.12/97,289.25
  6. Step 6: Final answer
    x = 35,125.89

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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.