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Finding the Fourth Proportional to 38,455, 53,069.52 and 21,688

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Solution

The fourth proportional to 38,455, 53,069.52 and 21,688 is: 29,930.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,455 : 53,069.52 = 21,688 : x
  2. Step 2: Convert to fraction form
    38,455/53,069.52 = 21,688/x
  3. Step 3: Cross multiply
    38,455x = 53,069.52 × 21,688
  4. Step 4: Simplify right side
    38,455x = 1,150,971,749.76
  5. Step 5: Solve for x
    x = 1,150,971,749.76/38,455
  6. Step 6: Final answer
    x = 29,930.35

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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.