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Finding the Fourth Proportional to 55,847.58, 77,069.92 and 30,698.70

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Solution

The fourth proportional to 55,847.58, 77,069.92 and 30,698.70 is: 42,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,847.58 : 77,069.92 = 30,698.70 : x
  2. Step 2: Convert to fraction form
    55,847.58/77,069.92 = 30,698.70/x
  3. Step 3: Cross multiply
    55,847.58x = 77,069.92 × 30,698.70
  4. Step 4: Simplify right side
    55,847.58x = 2,365,946,353.10
  5. Step 5: Solve for x
    x = 2,365,946,353.10/55,847.58
  6. Step 6: Final answer
    x = 42,364.35

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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.