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Finding the Fourth Proportional to 38,483.63, 53,106.89 and 21,488.16

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Solution

The fourth proportional to 38,483.63, 53,106.89 and 21,488.16 is: 29,653.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,483.63 : 53,106.89 = 21,488.16 : x
  2. Step 2: Convert to fraction form
    38,483.63/53,106.89 = 21,488.16/x
  3. Step 3: Cross multiply
    38,483.63x = 53,106.89 × 21,488.16
  4. Step 4: Simplify right side
    38,483.63x = 1,141,168,976.45
  5. Step 5: Solve for x
    x = 1,141,168,976.45/38,483.63
  6. Step 6: Final answer
    x = 29,653.36

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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.