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Finding the Fourth Proportional to 102,066.02, 153,075.99 and 36,402.02

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Solution

The fourth proportional to 102,066.02, 153,075.99 and 36,402.02 is: 54,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,066.02 : 153,075.99 = 36,402.02 : x
  2. Step 2: Convert to fraction form
    102,066.02/153,075.99 = 36,402.02/x
  3. Step 3: Cross multiply
    102,066.02x = 153,075.99 × 36,402.02
  4. Step 4: Simplify right side
    102,066.02x = 5,572,275,249.50
  5. Step 5: Solve for x
    x = 5,572,275,249.50/102,066.02
  6. Step 6: Final answer
    x = 54,594.81

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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.