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Finding the Fourth Proportional to 35,507, 53,260.50 and 10,883

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Solution

The fourth proportional to 35,507, 53,260.50 and 10,883 is: 16,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,507 : 53,260.50 = 10,883 : x
  2. Step 2: Convert to fraction form
    35,507/53,260.50 = 10,883/x
  3. Step 3: Cross multiply
    35,507x = 53,260.50 × 10,883
  4. Step 4: Simplify right side
    35,507x = 579,634,021.50
  5. Step 5: Solve for x
    x = 579,634,021.50/35,507
  6. Step 6: Final answer
    x = 16,324.50

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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.