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Finding the Fourth Proportional to 97,706.84, 146,559.88 and 41,538.20

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Solution

The fourth proportional to 97,706.84, 146,559.88 and 41,538.20 is: 62,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,706.84 : 146,559.88 = 41,538.20 : x
  2. Step 2: Convert to fraction form
    97,706.84/146,559.88 = 41,538.20/x
  3. Step 3: Cross multiply
    97,706.84x = 146,559.88 × 41,538.20
  4. Step 4: Simplify right side
    97,706.84x = 6,087,833,607.42
  5. Step 5: Solve for x
    x = 6,087,833,607.42/97,706.84
  6. Step 6: Final answer
    x = 62,307.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.