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Finding the Fourth Proportional to 30,776.32, 42,461.88 and 18,827.20

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Solution

The fourth proportional to 30,776.32, 42,461.88 and 18,827.20 is: 25,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,776.32 : 42,461.88 = 18,827.20 : x
  2. Step 2: Convert to fraction form
    30,776.32/42,461.88 = 18,827.20/x
  3. Step 3: Cross multiply
    30,776.32x = 42,461.88 × 18,827.20
  4. Step 4: Simplify right side
    30,776.32x = 799,438,307.14
  5. Step 5: Solve for x
    x = 799,438,307.14/30,776.32
  6. Step 6: Final answer
    x = 25,975.76

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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.