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Finding the Fourth Proportional to 97,317.84, 134,300.70 and 54,868.17

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Solution

The fourth proportional to 97,317.84, 134,300.70 and 54,868.17 is: 75,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,317.84 : 134,300.70 = 54,868.17 : x
  2. Step 2: Convert to fraction form
    97,317.84/134,300.70 = 54,868.17/x
  3. Step 3: Cross multiply
    97,317.84x = 134,300.70 × 54,868.17
  4. Step 4: Simplify right side
    97,317.84x = 7,368,833,638.72
  5. Step 5: Solve for x
    x = 7,368,833,638.72/97,317.84
  6. Step 6: Final answer
    x = 75,719.25

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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.