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Finding the Fourth Proportional to 35,362.70, 53,038.08 and 11,662.94

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Solution

The fourth proportional to 35,362.70, 53,038.08 and 11,662.94 is: 17,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,362.70 : 53,038.08 = 11,662.94 : x
  2. Step 2: Convert to fraction form
    35,362.70/53,038.08 = 11,662.94/x
  3. Step 3: Cross multiply
    35,362.70x = 53,038.08 × 11,662.94
  4. Step 4: Simplify right side
    35,362.70x = 618,579,944.76
  5. Step 5: Solve for x
    x = 618,579,944.76/35,362.70
  6. Step 6: Final answer
    x = 17,492.44

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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.