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Finding the Fourth Proportional to 35,605.50, 53,417.37 and 13,419.06

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Solution

The fourth proportional to 35,605.50, 53,417.37 and 13,419.06 is: 20,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,605.50 : 53,417.37 = 13,419.06 : x
  2. Step 2: Convert to fraction form
    35,605.50/53,417.37 = 13,419.06/x
  3. Step 3: Cross multiply
    35,605.50x = 53,417.37 × 13,419.06
  4. Step 4: Simplify right side
    35,605.50x = 716,810,893.07
  5. Step 5: Solve for x
    x = 716,810,893.07/35,605.50
  6. Step 6: Final answer
    x = 20,132.03

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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.