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Finding the Fourth Proportional to 53,369.64, 73,652.90 and 30,712.08

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Solution

The fourth proportional to 53,369.64, 73,652.90 and 30,712.08 is: 42,384.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,369.64 : 73,652.90 = 30,712.08 : x
  2. Step 2: Convert to fraction form
    53,369.64/73,652.90 = 30,712.08/x
  3. Step 3: Cross multiply
    53,369.64x = 73,652.90 × 30,712.08
  4. Step 4: Simplify right side
    53,369.64x = 2,262,033,757.03
  5. Step 5: Solve for x
    x = 2,262,033,757.03/53,369.64
  6. Step 6: Final answer
    x = 42,384.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.