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Finding the Fourth Proportional to 47,056.38, 64,913.31 and 38,113.98

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Solution

The fourth proportional to 47,056.38, 64,913.31 and 38,113.98 is: 52,577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,056.38 : 64,913.31 = 38,113.98 : x
  2. Step 2: Convert to fraction form
    47,056.38/64,913.31 = 38,113.98/x
  3. Step 3: Cross multiply
    47,056.38x = 64,913.31 × 38,113.98
  4. Step 4: Simplify right side
    47,056.38x = 2,474,104,599.07
  5. Step 5: Solve for x
    x = 2,474,104,599.07/47,056.38
  6. Step 6: Final answer
    x = 52,577.45

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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.