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Finding the Fourth Proportional to 52,246.77, 78,652.62 and 47,596.67

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Solution

The fourth proportional to 52,246.77, 78,652.62 and 47,596.67 is: 71,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,246.77 : 78,652.62 = 47,596.67 : x
  2. Step 2: Convert to fraction form
    52,246.77/78,652.62 = 47,596.67/x
  3. Step 3: Cross multiply
    52,246.77x = 78,652.62 × 47,596.67
  4. Step 4: Simplify right side
    52,246.77x = 3,743,602,405.51
  5. Step 5: Solve for x
    x = 3,743,602,405.51/52,246.77
  6. Step 6: Final answer
    x = 71,652.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.