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Finding the Fourth Proportional to 38,719.68, 53,430.88 and 22,800.48

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Solution

The fourth proportional to 38,719.68, 53,430.88 and 22,800.48 is: 31,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,719.68 : 53,430.88 = 22,800.48 : x
  2. Step 2: Convert to fraction form
    38,719.68/53,430.88 = 22,800.48/x
  3. Step 3: Cross multiply
    38,719.68x = 53,430.88 × 22,800.48
  4. Step 4: Simplify right side
    38,719.68x = 1,218,249,710.82
  5. Step 5: Solve for x
    x = 1,218,249,710.82/38,719.68
  6. Step 6: Final answer
    x = 31,463.32

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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.