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Finding the Fourth Proportional to 56,784.06, 78,362 and 32,924.57

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Solution

The fourth proportional to 56,784.06, 78,362 and 32,924.57 is: 45,435.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,784.06 : 78,362 = 32,924.57 : x
  2. Step 2: Convert to fraction form
    56,784.06/78,362 = 32,924.57/x
  3. Step 3: Cross multiply
    56,784.06x = 78,362 × 32,924.57
  4. Step 4: Simplify right side
    56,784.06x = 2,580,035,154.34
  5. Step 5: Solve for x
    x = 2,580,035,154.34/56,784.06
  6. Step 6: Final answer
    x = 45,435.90

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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.