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Finding the Fourth Proportional to 30,716, 42,373.20 and 26,730.80

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Solution

The fourth proportional to 30,716, 42,373.20 and 26,730.80 is: 36,875.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,716 : 42,373.20 = 26,730.80 : x
  2. Step 2: Convert to fraction form
    30,716/42,373.20 = 26,730.80/x
  3. Step 3: Cross multiply
    30,716x = 42,373.20 × 26,730.80
  4. Step 4: Simplify right side
    30,716x = 1,132,669,534.56
  5. Step 5: Solve for x
    x = 1,132,669,534.56/30,716
  6. Step 6: Final answer
    x = 36,875.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.