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Finding the Fourth Proportional to 75,970.85, 104,842.37 and 47,692.13

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Solution

The fourth proportional to 75,970.85, 104,842.37 and 47,692.13 is: 65,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,970.85 : 104,842.37 = 47,692.13 : x
  2. Step 2: Convert to fraction form
    75,970.85/104,842.37 = 47,692.13/x
  3. Step 3: Cross multiply
    75,970.85x = 104,842.37 × 47,692.13
  4. Step 4: Simplify right side
    75,970.85x = 5,000,155,701.09
  5. Step 5: Solve for x
    x = 5,000,155,701.09/75,970.85
  6. Step 6: Final answer
    x = 65,816.77

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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.