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Finding the Fourth Proportional to 73,152, 109,705.73 and 38,072.52

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Solution

The fourth proportional to 73,152, 109,705.73 and 38,072.52 is: 57,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,152 : 109,705.73 = 38,072.52 : x
  2. Step 2: Convert to fraction form
    73,152/109,705.73 = 38,072.52/x
  3. Step 3: Cross multiply
    73,152x = 109,705.73 × 38,072.52
  4. Step 4: Simplify right side
    73,152x = 4,176,773,409.18
  5. Step 5: Solve for x
    x = 4,176,773,409.18/73,152
  6. Step 6: Final answer
    x = 57,097.19

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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.