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Finding the Fourth Proportional to 40,607.50, 56,053.62 and 30,565

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Solution

The fourth proportional to 40,607.50, 56,053.62 and 30,565 is: 42,191.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,607.50 : 56,053.62 = 30,565 : x
  2. Step 2: Convert to fraction form
    40,607.50/56,053.62 = 30,565/x
  3. Step 3: Cross multiply
    40,607.50x = 56,053.62 × 30,565
  4. Step 4: Simplify right side
    40,607.50x = 1,713,278,895.30
  5. Step 5: Solve for x
    x = 1,713,278,895.30/40,607.50
  6. Step 6: Final answer
    x = 42,191.19

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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.