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Finding the Fourth Proportional to 38,533.84, 53,160.96 and 30,544

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Solution

The fourth proportional to 38,533.84, 53,160.96 and 30,544 is: 42,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,533.84 : 53,160.96 = 30,544 : x
  2. Step 2: Convert to fraction form
    38,533.84/53,160.96 = 30,544/x
  3. Step 3: Cross multiply
    38,533.84x = 53,160.96 × 30,544
  4. Step 4: Simplify right side
    38,533.84x = 1,623,748,362.24
  5. Step 5: Solve for x
    x = 1,623,748,362.24/38,533.84
  6. Step 6: Final answer
    x = 42,138.24

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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.