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Finding the Fourth Proportional to 53,106.90, 79,663.23 and 13,664.34

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Solution

The fourth proportional to 53,106.90, 79,663.23 and 13,664.34 is: 20,497.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,106.90 : 79,663.23 = 13,664.34 : x
  2. Step 2: Convert to fraction form
    53,106.90/79,663.23 = 13,664.34/x
  3. Step 3: Cross multiply
    53,106.90x = 79,663.23 × 13,664.34
  4. Step 4: Simplify right side
    53,106.90x = 1,088,545,460.22
  5. Step 5: Solve for x
    x = 1,088,545,460.22/53,106.90
  6. Step 6: Final answer
    x = 20,497.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.