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Finding the Fourth Proportional to 30,643.19, 42,303.75 and 20,624.30

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Solution

The fourth proportional to 30,643.19, 42,303.75 and 20,624.30 is: 28,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.19 : 42,303.75 = 20,624.30 : x
  2. Step 2: Convert to fraction form
    30,643.19/42,303.75 = 20,624.30/x
  3. Step 3: Cross multiply
    30,643.19x = 42,303.75 × 20,624.30
  4. Step 4: Simplify right side
    30,643.19x = 872,485,231.13
  5. Step 5: Solve for x
    x = 872,485,231.13/30,643.19
  6. Step 6: Final answer
    x = 28,472.40

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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.