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Finding the Fourth Proportional to 47,692.80, 65,802.24 and 35,159.04

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Solution

The fourth proportional to 47,692.80, 65,802.24 and 35,159.04 is: 48,509.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,692.80 : 65,802.24 = 35,159.04 : x
  2. Step 2: Convert to fraction form
    47,692.80/65,802.24 = 35,159.04/x
  3. Step 3: Cross multiply
    47,692.80x = 65,802.24 × 35,159.04
  4. Step 4: Simplify right side
    47,692.80x = 2,313,543,588.25
  5. Step 5: Solve for x
    x = 2,313,543,588.25/47,692.80
  6. Step 6: Final answer
    x = 48,509.28

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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.