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Finding the Fourth Proportional to 47,602.84, 65,692.47 and 26,382.46

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Solution

The fourth proportional to 47,602.84, 65,692.47 and 26,382.46 is: 36,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,602.84 : 65,692.47 = 26,382.46 : x
  2. Step 2: Convert to fraction form
    47,602.84/65,692.47 = 26,382.46/x
  3. Step 3: Cross multiply
    47,602.84x = 65,692.47 × 26,382.46
  4. Step 4: Simplify right side
    47,602.84x = 1,733,128,962.08
  5. Step 5: Solve for x
    x = 1,733,128,962.08/47,602.84
  6. Step 6: Final answer
    x = 36,408.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.