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Finding the Fourth Proportional to 39,878.72, 55,030.64 and 21,970.83

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Solution

The fourth proportional to 39,878.72, 55,030.64 and 21,970.83 is: 30,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878.72 : 55,030.64 = 21,970.83 : x
  2. Step 2: Convert to fraction form
    39,878.72/55,030.64 = 21,970.83/x
  3. Step 3: Cross multiply
    39,878.72x = 55,030.64 × 21,970.83
  4. Step 4: Simplify right side
    39,878.72x = 1,209,068,726.38
  5. Step 5: Solve for x
    x = 1,209,068,726.38/39,878.72
  6. Step 6: Final answer
    x = 30,318.65

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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.