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Finding the Fourth Proportional to 114,803.64, 172,215.36 and 31,697.64

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Solution

The fourth proportional to 114,803.64, 172,215.36 and 31,697.64 is: 47,549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,803.64 : 172,215.36 = 31,697.64 : x
  2. Step 2: Convert to fraction form
    114,803.64/172,215.36 = 31,697.64/x
  3. Step 3: Cross multiply
    114,803.64x = 172,215.36 × 31,697.64
  4. Step 4: Simplify right side
    114,803.64x = 5,458,820,483.75
  5. Step 5: Solve for x
    x = 5,458,820,483.75/114,803.64
  6. Step 6: Final answer
    x = 47,549.19

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1.5x scale

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.