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Finding the Fourth Proportional to 48,546, 72,693.72 and 28,838.16

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Solution

The fourth proportional to 48,546, 72,693.72 and 28,838.16 is: 43,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,546 : 72,693.72 = 28,838.16 : x
  2. Step 2: Convert to fraction form
    48,546/72,693.72 = 28,838.16/x
  3. Step 3: Cross multiply
    48,546x = 72,693.72 × 28,838.16
  4. Step 4: Simplify right side
    48,546x = 2,096,353,128.36
  5. Step 5: Solve for x
    x = 2,096,353,128.36/48,546
  6. Step 6: Final answer
    x = 43,182.82

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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.