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Finding the Fourth Proportional to 66,032.64, 91,124.16 and 37,737.60

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Solution

The fourth proportional to 66,032.64, 91,124.16 and 37,737.60 is: 52,077.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,032.64 : 91,124.16 = 37,737.60 : x
  2. Step 2: Convert to fraction form
    66,032.64/91,124.16 = 37,737.60/x
  3. Step 3: Cross multiply
    66,032.64x = 91,124.16 × 37,737.60
  4. Step 4: Simplify right side
    66,032.64x = 3,438,807,100.42
  5. Step 5: Solve for x
    x = 3,438,807,100.42/66,032.64
  6. Step 6: Final answer
    x = 52,077.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.