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Finding the Fourth Proportional to 38,624.77, 53,274.64 and 35,448.31

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Solution

The fourth proportional to 38,624.77, 53,274.64 and 35,448.31 is: 48,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,624.77 : 53,274.64 = 35,448.31 : x
  2. Step 2: Convert to fraction form
    38,624.77/53,274.64 = 35,448.31/x
  3. Step 3: Cross multiply
    38,624.77x = 53,274.64 × 35,448.31
  4. Step 4: Simplify right side
    38,624.77x = 1,888,495,748.76
  5. Step 5: Solve for x
    x = 1,888,495,748.76/38,624.77
  6. Step 6: Final answer
    x = 48,893.38

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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.