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Finding the Fourth Proportional to 38,636.32, 53,318.80 and 30,148

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Solution

The fourth proportional to 38,636.32, 53,318.80 and 30,148 is: 41,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,636.32 : 53,318.80 = 30,148 : x
  2. Step 2: Convert to fraction form
    38,636.32/53,318.80 = 30,148/x
  3. Step 3: Cross multiply
    38,636.32x = 53,318.80 × 30,148
  4. Step 4: Simplify right side
    38,636.32x = 1,607,455,182.40
  5. Step 5: Solve for x
    x = 1,607,455,182.40/38,636.32
  6. Step 6: Final answer
    x = 41,604.77

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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.