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Finding the Fourth Proportional to 30,803.66, 42,505.86 and 22,741.60

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Solution

The fourth proportional to 30,803.66, 42,505.86 and 22,741.60 is: 31,381.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.66 : 42,505.86 = 22,741.60 : x
  2. Step 2: Convert to fraction form
    30,803.66/42,505.86 = 22,741.60/x
  3. Step 3: Cross multiply
    30,803.66x = 42,505.86 × 22,741.60
  4. Step 4: Simplify right side
    30,803.66x = 966,651,152.07
  5. Step 5: Solve for x
    x = 966,651,152.07/30,803.66
  6. Step 6: Final answer
    x = 31,381.05

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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.