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Finding the Fourth Proportional to 62,092.64, 92,688.16 and 57,466.88

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Solution

The fourth proportional to 62,092.64, 92,688.16 and 57,466.88 is: 85,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,092.64 : 92,688.16 = 57,466.88 : x
  2. Step 2: Convert to fraction form
    62,092.64/92,688.16 = 57,466.88/x
  3. Step 3: Cross multiply
    62,092.64x = 92,688.16 × 57,466.88
  4. Step 4: Simplify right side
    62,092.64x = 5,326,499,368.14
  5. Step 5: Solve for x
    x = 5,326,499,368.14/62,092.64
  6. Step 6: Final answer
    x = 85,783.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.