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Finding the Fourth Proportional to 51,425.48, 70,946.88 and 32,294

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Solution

The fourth proportional to 51,425.48, 70,946.88 and 32,294 is: 44,552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,425.48 : 70,946.88 = 32,294 : x
  2. Step 2: Convert to fraction form
    51,425.48/70,946.88 = 32,294/x
  3. Step 3: Cross multiply
    51,425.48x = 70,946.88 × 32,294
  4. Step 4: Simplify right side
    51,425.48x = 2,291,158,542.72
  5. Step 5: Solve for x
    x = 2,291,158,542.72/51,425.48
  6. Step 6: Final answer
    x = 44,552.98

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