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Finding the Fourth Proportional to 42,952.50, 64,434.02 and 13,365.63

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Solution

The fourth proportional to 42,952.50, 64,434.02 and 13,365.63 is: 20,050.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,952.50 : 64,434.02 = 13,365.63 : x
  2. Step 2: Convert to fraction form
    42,952.50/64,434.02 = 13,365.63/x
  3. Step 3: Cross multiply
    42,952.50x = 64,434.02 × 13,365.63
  4. Step 4: Simplify right side
    42,952.50x = 861,201,203.90
  5. Step 5: Solve for x
    x = 861,201,203.90/42,952.50
  6. Step 6: Final answer
    x = 20,050.08

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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.