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Finding the Fourth Proportional to 35,564.66, 53,349.02 and 13,378.22

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Solution

The fourth proportional to 35,564.66, 53,349.02 and 13,378.22 is: 20,068.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564.66 : 53,349.02 = 13,378.22 : x
  2. Step 2: Convert to fraction form
    35,564.66/53,349.02 = 13,378.22/x
  3. Step 3: Cross multiply
    35,564.66x = 53,349.02 × 13,378.22
  4. Step 4: Simplify right side
    35,564.66x = 713,714,592.71
  5. Step 5: Solve for x
    x = 713,714,592.71/35,564.66
  6. Step 6: Final answer
    x = 20,068.09

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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.