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Finding the Fourth Proportional to 32,766.66, 49,151.16 and 10,580.40

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Solution

The fourth proportional to 32,766.66, 49,151.16 and 10,580.40 is: 15,870.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,766.66 : 49,151.16 = 10,580.40 : x
  2. Step 2: Convert to fraction form
    32,766.66/49,151.16 = 10,580.40/x
  3. Step 3: Cross multiply
    32,766.66x = 49,151.16 × 10,580.40
  4. Step 4: Simplify right side
    32,766.66x = 520,038,933.26
  5. Step 5: Solve for x
    x = 520,038,933.26/32,766.66
  6. Step 6: Final answer
    x = 15,870.98

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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.