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Finding the Fourth Proportional to 57,816.12, 86,684.71 and 30,802.50

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Solution

The fourth proportional to 57,816.12, 86,684.71 and 30,802.50 is: 46,182.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,816.12 : 86,684.71 = 30,802.50 : x
  2. Step 2: Convert to fraction form
    57,816.12/86,684.71 = 30,802.50/x
  3. Step 3: Cross multiply
    57,816.12x = 86,684.71 × 30,802.50
  4. Step 4: Simplify right side
    57,816.12x = 2,670,105,702.77
  5. Step 5: Solve for x
    x = 2,670,105,702.77/57,816.12
  6. Step 6: Final answer
    x = 46,182.72

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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.