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Finding the Fourth Proportional to 97,297.16, 134,264.86 and 54,852.96

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Solution

The fourth proportional to 97,297.16, 134,264.86 and 54,852.96 is: 75,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,297.16 : 134,264.86 = 54,852.96 : x
  2. Step 2: Convert to fraction form
    97,297.16/134,264.86 = 54,852.96/x
  3. Step 3: Cross multiply
    97,297.16x = 134,264.86 × 54,852.96
  4. Step 4: Simplify right side
    97,297.16x = 7,364,824,994.99
  5. Step 5: Solve for x
    x = 7,364,824,994.99/97,297.16
  6. Step 6: Final answer
    x = 75,694.14

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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.