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Finding the Fourth Proportional to 35,699.76, 53,557.47 and 13,513.32

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Solution

The fourth proportional to 35,699.76, 53,557.47 and 13,513.32 is: 20,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,699.76 : 53,557.47 = 13,513.32 : x
  2. Step 2: Convert to fraction form
    35,699.76/53,557.47 = 13,513.32/x
  3. Step 3: Cross multiply
    35,699.76x = 53,557.47 × 13,513.32
  4. Step 4: Simplify right side
    35,699.76x = 723,739,230.50
  5. Step 5: Solve for x
    x = 723,739,230.50/35,699.76
  6. Step 6: Final answer
    x = 20,272.94

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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.