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Finding the Fourth Proportional to 38,656.36, 53,453.16 and 30,684.76

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Solution

The fourth proportional to 38,656.36, 53,453.16 and 30,684.76 is: 42,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,656.36 : 53,453.16 = 30,684.76 : x
  2. Step 2: Convert to fraction form
    38,656.36/53,453.16 = 30,684.76/x
  3. Step 3: Cross multiply
    38,656.36x = 53,453.16 × 30,684.76
  4. Step 4: Simplify right side
    38,656.36x = 1,640,197,385.84
  5. Step 5: Solve for x
    x = 1,640,197,385.84/38,656.36
  6. Step 6: Final answer
    x = 42,430.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.