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Finding the Fourth Proportional to 38,750.64, 53,477.64 and 22,835.76

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Solution

The fourth proportional to 38,750.64, 53,477.64 and 22,835.76 is: 31,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,750.64 : 53,477.64 = 22,835.76 : x
  2. Step 2: Convert to fraction form
    38,750.64/53,477.64 = 22,835.76/x
  3. Step 3: Cross multiply
    38,750.64x = 53,477.64 × 22,835.76
  4. Step 4: Simplify right side
    38,750.64x = 1,221,202,552.41
  5. Step 5: Solve for x
    x = 1,221,202,552.41/38,750.64
  6. Step 6: Final answer
    x = 31,514.38

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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.