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Finding the Fourth Proportional to 35,706.54, 53,564.47 and 13,214.16

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Solution

The fourth proportional to 35,706.54, 53,564.47 and 13,214.16 is: 19,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,706.54 : 53,564.47 = 13,214.16 : x
  2. Step 2: Convert to fraction form
    35,706.54/53,564.47 = 13,214.16/x
  3. Step 3: Cross multiply
    35,706.54x = 53,564.47 × 13,214.16
  4. Step 4: Simplify right side
    35,706.54x = 707,809,476.90
  5. Step 5: Solve for x
    x = 707,809,476.90/35,706.54
  6. Step 6: Final answer
    x = 19,822.96

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Why These Related Problems?

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