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Finding the Fourth Proportional to 98,213.64, 135,534.80 and 53,501.64

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Solution

The fourth proportional to 98,213.64, 135,534.80 and 53,501.64 is: 73,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,213.64 : 135,534.80 = 53,501.64 : x
  2. Step 2: Convert to fraction form
    98,213.64/135,534.80 = 53,501.64/x
  3. Step 3: Cross multiply
    98,213.64x = 135,534.80 × 53,501.64
  4. Step 4: Simplify right side
    98,213.64x = 7,251,334,077.07
  5. Step 5: Solve for x
    x = 7,251,334,077.07/98,213.64
  6. Step 6: Final answer
    x = 73,832.25

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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.