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Finding the Fourth Proportional to 62,112, 93,168.64 and 34,468.16

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Solution

The fourth proportional to 62,112, 93,168.64 and 34,468.16 is: 51,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,112 : 93,168.64 = 34,468.16 : x
  2. Step 2: Convert to fraction form
    62,112/93,168.64 = 34,468.16/x
  3. Step 3: Cross multiply
    62,112x = 93,168.64 × 34,468.16
  4. Step 4: Simplify right side
    62,112x = 3,211,351,590.50
  5. Step 5: Solve for x
    x = 3,211,351,590.50/62,112
  6. Step 6: Final answer
    x = 51,702.60

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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.