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Finding the Fourth Proportional to 35,807.76, 53,692.74 and 12,107.16

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Solution

The fourth proportional to 35,807.76, 53,692.74 and 12,107.16 is: 18,154.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,807.76 : 53,692.74 = 12,107.16 : x
  2. Step 2: Convert to fraction form
    35,807.76/53,692.74 = 12,107.16/x
  3. Step 3: Cross multiply
    35,807.76x = 53,692.74 × 12,107.16
  4. Step 4: Simplify right side
    35,807.76x = 650,066,594.02
  5. Step 5: Solve for x
    x = 650,066,594.02/35,807.76
  6. Step 6: Final answer
    x = 18,154.35

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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.