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Finding the Fourth Proportional to 66,602.34, 99,952.80 and 31,542.08

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Solution

The fourth proportional to 66,602.34, 99,952.80 and 31,542.08 is: 47,336.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,602.34 : 99,952.80 = 31,542.08 : x
  2. Step 2: Convert to fraction form
    66,602.34/99,952.80 = 31,542.08/x
  3. Step 3: Cross multiply
    66,602.34x = 99,952.80 × 31,542.08
  4. Step 4: Simplify right side
    66,602.34x = 3,152,719,213.82
  5. Step 5: Solve for x
    x = 3,152,719,213.82/66,602.34
  6. Step 6: Final answer
    x = 47,336.46

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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.