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Finding the Fourth Proportional to 97,487.40, 146,231.10 and 64,026.30

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Solution

The fourth proportional to 97,487.40, 146,231.10 and 64,026.30 is: 96,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,487.40 : 146,231.10 = 64,026.30 : x
  2. Step 2: Convert to fraction form
    97,487.40/146,231.10 = 64,026.30/x
  3. Step 3: Cross multiply
    97,487.40x = 146,231.10 × 64,026.30
  4. Step 4: Simplify right side
    97,487.40x = 9,362,636,277.93
  5. Step 5: Solve for x
    x = 9,362,636,277.93/97,487.40
  6. Step 6: Final answer
    x = 96,039.45

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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.