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Finding the Fourth Proportional to 30,368.40, 45,557.38 and 8,182.64

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Solution

The fourth proportional to 30,368.40, 45,557.38 and 8,182.64 is: 12,275.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,368.40 : 45,557.38 = 8,182.64 : x
  2. Step 2: Convert to fraction form
    30,368.40/45,557.38 = 8,182.64/x
  3. Step 3: Cross multiply
    30,368.40x = 45,557.38 × 8,182.64
  4. Step 4: Simplify right side
    30,368.40x = 372,779,639.88
  5. Step 5: Solve for x
    x = 372,779,639.88/30,368.40
  6. Step 6: Final answer
    x = 12,275.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.