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Finding the Fourth Proportional to 35,526.69, 53,270.42 and 14,461.31

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Solution

The fourth proportional to 35,526.69, 53,270.42 and 14,461.31 is: 21,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,526.69 : 53,270.42 = 14,461.31 : x
  2. Step 2: Convert to fraction form
    35,526.69/53,270.42 = 14,461.31/x
  3. Step 3: Cross multiply
    35,526.69x = 53,270.42 × 14,461.31
  4. Step 4: Simplify right side
    35,526.69x = 770,360,118.32
  5. Step 5: Solve for x
    x = 770,360,118.32/35,526.69
  6. Step 6: Final answer
    x = 21,683.98

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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.