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Finding the Fourth Proportional to 122,523, 183,784.50 and 39,417

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Solution

The fourth proportional to 122,523, 183,784.50 and 39,417 is: 59,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,523 : 183,784.50 = 39,417 : x
  2. Step 2: Convert to fraction form
    122,523/183,784.50 = 39,417/x
  3. Step 3: Cross multiply
    122,523x = 183,784.50 × 39,417
  4. Step 4: Simplify right side
    122,523x = 7,244,233,636.50
  5. Step 5: Solve for x
    x = 7,244,233,636.50/122,523
  6. Step 6: Final answer
    x = 59,125.50

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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.