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Finding the Fourth Proportional to 97,307.73, 145,911.78 and 44,671.50

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Solution

The fourth proportional to 97,307.73, 145,911.78 and 44,671.50 is: 66,984.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,307.73 : 145,911.78 = 44,671.50 : x
  2. Step 2: Convert to fraction form
    97,307.73/145,911.78 = 44,671.50/x
  3. Step 3: Cross multiply
    97,307.73x = 145,911.78 × 44,671.50
  4. Step 4: Simplify right side
    97,307.73x = 6,518,098,080.27
  5. Step 5: Solve for x
    x = 6,518,098,080.27/97,307.73
  6. Step 6: Final answer
    x = 66,984.38

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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.