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Finding the Fourth Proportional to 39,106.84, 53,970.30 and 22,339.48

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Solution

The fourth proportional to 39,106.84, 53,970.30 and 22,339.48 is: 30,830.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,106.84 : 53,970.30 = 22,339.48 : x
  2. Step 2: Convert to fraction form
    39,106.84/53,970.30 = 22,339.48/x
  3. Step 3: Cross multiply
    39,106.84x = 53,970.30 × 22,339.48
  4. Step 4: Simplify right side
    39,106.84x = 1,205,668,437.44
  5. Step 5: Solve for x
    x = 1,205,668,437.44/39,106.84
  6. Step 6: Final answer
    x = 30,830.12

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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.