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Finding the Fourth Proportional to 32,570.90, 48,863.74 and 10,385.61

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Solution

The fourth proportional to 32,570.90, 48,863.74 and 10,385.61 is: 15,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.90 : 48,863.74 = 10,385.61 : x
  2. Step 2: Convert to fraction form
    32,570.90/48,863.74 = 10,385.61/x
  3. Step 3: Cross multiply
    32,570.90x = 48,863.74 × 10,385.61
  4. Step 4: Simplify right side
    32,570.90x = 507,479,746.78
  5. Step 5: Solve for x
    x = 507,479,746.78/32,570.90
  6. Step 6: Final answer
    x = 15,580.77

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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.