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Finding the Fourth Proportional to 97,738.16, 134,878.92 and 53,026.16

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Solution

The fourth proportional to 97,738.16, 134,878.92 and 53,026.16 is: 73,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,738.16 : 134,878.92 = 53,026.16 : x
  2. Step 2: Convert to fraction form
    97,738.16/134,878.92 = 53,026.16/x
  3. Step 3: Cross multiply
    97,738.16x = 134,878.92 × 53,026.16
  4. Step 4: Simplify right side
    97,738.16x = 7,152,111,192.55
  5. Step 5: Solve for x
    x = 7,152,111,192.55/97,738.16
  6. Step 6: Final answer
    x = 73,176.24

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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.