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Finding the Fourth Proportional to 51,253.39, 70,737.47 and 31,106.38

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Solution

The fourth proportional to 51,253.39, 70,737.47 and 31,106.38 is: 42,931.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,253.39 : 70,737.47 = 31,106.38 : x
  2. Step 2: Convert to fraction form
    51,253.39/70,737.47 = 31,106.38/x
  3. Step 3: Cross multiply
    51,253.39x = 70,737.47 × 31,106.38
  4. Step 4: Simplify right side
    51,253.39x = 2,200,386,538.96
  5. Step 5: Solve for x
    x = 2,200,386,538.96/51,253.39
  6. Step 6: Final answer
    x = 42,931.53

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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.