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Finding the Fourth Proportional to 48,289.16, 72,448.83 and 21,657.48

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Solution

The fourth proportional to 48,289.16, 72,448.83 and 21,657.48 is: 32,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,289.16 : 72,448.83 = 21,657.48 : x
  2. Step 2: Convert to fraction form
    48,289.16/72,448.83 = 21,657.48/x
  3. Step 3: Cross multiply
    48,289.16x = 72,448.83 × 21,657.48
  4. Step 4: Simplify right side
    48,289.16x = 1,569,058,815.07
  5. Step 5: Solve for x
    x = 1,569,058,815.07/48,289.16
  6. Step 6: Final answer
    x = 32,492.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.