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Finding the Fourth Proportional to 47,802.14, 65,962.21 and 36,478.95

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Solution

The fourth proportional to 47,802.14, 65,962.21 and 36,478.95 is: 50,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,802.14 : 65,962.21 = 36,478.95 : x
  2. Step 2: Convert to fraction form
    47,802.14/65,962.21 = 36,478.95/x
  3. Step 3: Cross multiply
    47,802.14x = 65,962.21 × 36,478.95
  4. Step 4: Simplify right side
    47,802.14x = 2,406,232,160.48
  5. Step 5: Solve for x
    x = 2,406,232,160.48/47,802.14
  6. Step 6: Final answer
    x = 50,337.33

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1.5x scale

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.