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Finding the Fourth Proportional to 38,476.73, 53,097.63 and 21,480

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Solution

The fourth proportional to 38,476.73, 53,097.63 and 21,480 is: 29,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,476.73 : 53,097.63 = 21,480 : x
  2. Step 2: Convert to fraction form
    38,476.73/53,097.63 = 21,480/x
  3. Step 3: Cross multiply
    38,476.73x = 53,097.63 × 21,480
  4. Step 4: Simplify right side
    38,476.73x = 1,140,537,092.40
  5. Step 5: Solve for x
    x = 1,140,537,092.40/38,476.73
  6. Step 6: Final answer
    x = 29,642.26

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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.