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Finding the Fourth Proportional to 38,574.96, 53,237.40 and 23,468.70

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Solution

The fourth proportional to 38,574.96, 53,237.40 and 23,468.70 is: 32,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,574.96 : 53,237.40 = 23,468.70 : x
  2. Step 2: Convert to fraction form
    38,574.96/53,237.40 = 23,468.70/x
  3. Step 3: Cross multiply
    38,574.96x = 53,237.40 × 23,468.70
  4. Step 4: Simplify right side
    38,574.96x = 1,249,412,569.38
  5. Step 5: Solve for x
    x = 1,249,412,569.38/38,574.96
  6. Step 6: Final answer
    x = 32,389.21

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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.