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Finding the Fourth Proportional to 38,411.96, 53,009.40 and 21,417.32

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Solution

The fourth proportional to 38,411.96, 53,009.40 and 21,417.32 is: 29,556.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,411.96 : 53,009.40 = 21,417.32 : x
  2. Step 2: Convert to fraction form
    38,411.96/53,009.40 = 21,417.32/x
  3. Step 3: Cross multiply
    38,411.96x = 53,009.40 × 21,417.32
  4. Step 4: Simplify right side
    38,411.96x = 1,135,319,282.81
  5. Step 5: Solve for x
    x = 1,135,319,282.81/38,411.96
  6. Step 6: Final answer
    x = 29,556.40

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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.