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Finding the Fourth Proportional to 122,447, 183,670.50 and 48,575

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Solution

The fourth proportional to 122,447, 183,670.50 and 48,575 is: 72,862.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,447 : 183,670.50 = 48,575 : x
  2. Step 2: Convert to fraction form
    122,447/183,670.50 = 48,575/x
  3. Step 3: Cross multiply
    122,447x = 183,670.50 × 48,575
  4. Step 4: Simplify right side
    122,447x = 8,921,794,537.50
  5. Step 5: Solve for x
    x = 8,921,794,537.50/122,447
  6. Step 6: Final answer
    x = 72,862.50

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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.