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Finding the Fourth Proportional to 97,437.64, 146,070.06 and 47,489.80

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Solution

The fourth proportional to 97,437.64, 146,070.06 and 47,489.80 is: 71,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,437.64 : 146,070.06 = 47,489.80 : x
  2. Step 2: Convert to fraction form
    97,437.64/146,070.06 = 47,489.80/x
  3. Step 3: Cross multiply
    97,437.64x = 146,070.06 × 47,489.80
  4. Step 4: Simplify right side
    97,437.64x = 6,936,837,935.39
  5. Step 5: Solve for x
    x = 6,936,837,935.39/97,437.64
  6. Step 6: Final answer
    x = 71,192.59

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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.