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Finding the Fourth Proportional to 38,448, 53,058.24 and 20,784

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Solution

The fourth proportional to 38,448, 53,058.24 and 20,784 is: 28,681.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,448 : 53,058.24 = 20,784 : x
  2. Step 2: Convert to fraction form
    38,448/53,058.24 = 20,784/x
  3. Step 3: Cross multiply
    38,448x = 53,058.24 × 20,784
  4. Step 4: Simplify right side
    38,448x = 1,102,762,460.16
  5. Step 5: Solve for x
    x = 1,102,762,460.16/38,448
  6. Step 6: Final answer
    x = 28,681.92

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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.