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Finding the Fourth Proportional to 38,987.56, 53,802.12 and 23,877.84

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Solution

The fourth proportional to 38,987.56, 53,802.12 and 23,877.84 is: 32,950.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,987.56 : 53,802.12 = 23,877.84 : x
  2. Step 2: Convert to fraction form
    38,987.56/53,802.12 = 23,877.84/x
  3. Step 3: Cross multiply
    38,987.56x = 53,802.12 × 23,877.84
  4. Step 4: Simplify right side
    38,987.56x = 1,284,678,413.02
  5. Step 5: Solve for x
    x = 1,284,678,413.02/38,987.56
  6. Step 6: Final answer
    x = 32,950.98

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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.