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Finding the Fourth Proportional to 97,141.83, 145,699.98 and 30,582.30

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Solution

The fourth proportional to 97,141.83, 145,699.98 and 30,582.30 is: 45,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,141.83 : 145,699.98 = 30,582.30 : x
  2. Step 2: Convert to fraction form
    97,141.83/145,699.98 = 30,582.30/x
  3. Step 3: Cross multiply
    97,141.83x = 145,699.98 × 30,582.30
  4. Step 4: Simplify right side
    97,141.83x = 4,455,840,345.44
  5. Step 5: Solve for x
    x = 4,455,840,345.44/97,141.83
  6. Step 6: Final answer
    x = 45,869.43

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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.