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Finding the Fourth Proportional to 35,564.56, 53,349.56 and 10,602.70

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Solution

The fourth proportional to 35,564.56, 53,349.56 and 10,602.70 is: 15,904.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,564.56 : 53,349.56 = 10,602.70 : x
  2. Step 2: Convert to fraction form
    35,564.56/53,349.56 = 10,602.70/x
  3. Step 3: Cross multiply
    35,564.56x = 53,349.56 × 10,602.70
  4. Step 4: Simplify right side
    35,564.56x = 565,649,379.81
  5. Step 5: Solve for x
    x = 565,649,379.81/35,564.56
  6. Step 6: Final answer
    x = 15,904.86

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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.