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Finding the Fourth Proportional to 38,970.50, 53,784.56 and 21,978.24

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Solution

The fourth proportional to 38,970.50, 53,784.56 and 21,978.24 is: 30,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.50 : 53,784.56 = 21,978.24 : x
  2. Step 2: Convert to fraction form
    38,970.50/53,784.56 = 21,978.24/x
  3. Step 3: Cross multiply
    38,970.50x = 53,784.56 × 21,978.24
  4. Step 4: Simplify right side
    38,970.50x = 1,182,089,967.97
  5. Step 5: Solve for x
    x = 1,182,089,967.97/38,970.50
  6. Step 6: Final answer
    x = 30,332.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.