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Finding the Fourth Proportional to 103,034.94, 154,574.60 and 31,956.14

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Solution

The fourth proportional to 103,034.94, 154,574.60 and 31,956.14 is: 47,941.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,034.94 : 154,574.60 = 31,956.14 : x
  2. Step 2: Convert to fraction form
    103,034.94/154,574.60 = 31,956.14/x
  3. Step 3: Cross multiply
    103,034.94x = 154,574.60 × 31,956.14
  4. Step 4: Simplify right side
    103,034.94x = 4,939,607,558.04
  5. Step 5: Solve for x
    x = 4,939,607,558.04/103,034.94
  6. Step 6: Final answer
    x = 47,941.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.