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Finding the Fourth Proportional to 97,590, 146,405.64 and 37,620.02

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Solution

The fourth proportional to 97,590, 146,405.64 and 37,620.02 is: 56,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,590 : 146,405.64 = 37,620.02 : x
  2. Step 2: Convert to fraction form
    97,590/146,405.64 = 37,620.02/x
  3. Step 3: Cross multiply
    97,590x = 146,405.64 × 37,620.02
  4. Step 4: Simplify right side
    97,590x = 5,507,783,104.91
  5. Step 5: Solve for x
    x = 5,507,783,104.91/97,590
  6. Step 6: Final answer
    x = 56,437.99

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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.