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Finding the Fourth Proportional to 97,237, 145,855.50 and 31,573

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Solution

The fourth proportional to 97,237, 145,855.50 and 31,573 is: 47,359.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,237 : 145,855.50 = 31,573 : x
  2. Step 2: Convert to fraction form
    97,237/145,855.50 = 31,573/x
  3. Step 3: Cross multiply
    97,237x = 145,855.50 × 31,573
  4. Step 4: Simplify right side
    97,237x = 4,605,095,701.50
  5. Step 5: Solve for x
    x = 4,605,095,701.50/97,237
  6. Step 6: Final answer
    x = 47,359.50

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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.