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Finding the Fourth Proportional to 30,565.08, 45,818.46 and 9,775.08

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Solution

The fourth proportional to 30,565.08, 45,818.46 and 9,775.08 is: 14,653.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,565.08 : 45,818.46 = 9,775.08 : x
  2. Step 2: Convert to fraction form
    30,565.08/45,818.46 = 9,775.08/x
  3. Step 3: Cross multiply
    30,565.08x = 45,818.46 × 9,775.08
  4. Step 4: Simplify right side
    30,565.08x = 447,879,111.98
  5. Step 5: Solve for x
    x = 447,879,111.98/30,565.08
  6. Step 6: Final answer
    x = 14,653.29

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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.