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Finding the Fourth Proportional to 115,265, 172,897.50 and 37,441

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Solution

The fourth proportional to 115,265, 172,897.50 and 37,441 is: 56,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,265 : 172,897.50 = 37,441 : x
  2. Step 2: Convert to fraction form
    115,265/172,897.50 = 37,441/x
  3. Step 3: Cross multiply
    115,265x = 172,897.50 × 37,441
  4. Step 4: Simplify right side
    115,265x = 6,473,455,297.50
  5. Step 5: Solve for x
    x = 6,473,455,297.50/115,265
  6. Step 6: Final answer
    x = 56,161.50

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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.