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Finding the Fourth Proportional to 35,830.04, 53,745.12 and 13,638.32

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Solution

The fourth proportional to 35,830.04, 53,745.12 and 13,638.32 is: 20,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,830.04 : 53,745.12 = 13,638.32 : x
  2. Step 2: Convert to fraction form
    35,830.04/53,745.12 = 13,638.32/x
  3. Step 3: Cross multiply
    35,830.04x = 53,745.12 × 13,638.32
  4. Step 4: Simplify right side
    35,830.04x = 732,993,145.00
  5. Step 5: Solve for x
    x = 732,993,145.00/35,830.04
  6. Step 6: Final answer
    x = 20,457.50

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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.