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Finding the Fourth Proportional to 35,588.94, 53,392.68 and 13,402.50

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Solution

The fourth proportional to 35,588.94, 53,392.68 and 13,402.50 is: 20,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,588.94 : 53,392.68 = 13,402.50 : x
  2. Step 2: Convert to fraction form
    35,588.94/53,392.68 = 13,402.50/x
  3. Step 3: Cross multiply
    35,588.94x = 53,392.68 × 13,402.50
  4. Step 4: Simplify right side
    35,588.94x = 715,595,393.70
  5. Step 5: Solve for x
    x = 715,595,393.70/35,588.94
  6. Step 6: Final answer
    x = 20,107.24

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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.