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Finding the Fourth Proportional to 97,741.16, 134,883.06 and 53,029.16

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Solution

The fourth proportional to 97,741.16, 134,883.06 and 53,029.16 is: 73,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,741.16 : 134,883.06 = 53,029.16 : x
  2. Step 2: Convert to fraction form
    97,741.16/134,883.06 = 53,029.16/x
  3. Step 3: Cross multiply
    97,741.16x = 134,883.06 × 53,029.16
  4. Step 4: Simplify right side
    97,741.16x = 7,152,735,370.03
  5. Step 5: Solve for x
    x = 7,152,735,370.03/97,741.16
  6. Step 6: Final answer
    x = 73,180.38

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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.