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Finding the Fourth Proportional to 52,477.80, 78,716.70 and 42,109.80

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Solution

The fourth proportional to 52,477.80, 78,716.70 and 42,109.80 is: 63,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,477.80 : 78,716.70 = 42,109.80 : x
  2. Step 2: Convert to fraction form
    52,477.80/78,716.70 = 42,109.80/x
  3. Step 3: Cross multiply
    52,477.80x = 78,716.70 × 42,109.80
  4. Step 4: Simplify right side
    52,477.80x = 3,314,744,493.66
  5. Step 5: Solve for x
    x = 3,314,744,493.66/52,477.80
  6. Step 6: Final answer
    x = 63,164.70

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1.5x scale

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.