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Finding the Fourth Proportional to 122,445, 183,667.50 and 48,573

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Solution

The fourth proportional to 122,445, 183,667.50 and 48,573 is: 72,859.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,445 : 183,667.50 = 48,573 : x
  2. Step 2: Convert to fraction form
    122,445/183,667.50 = 48,573/x
  3. Step 3: Cross multiply
    122,445x = 183,667.50 × 48,573
  4. Step 4: Simplify right side
    122,445x = 8,921,281,477.50
  5. Step 5: Solve for x
    x = 8,921,281,477.50/122,445
  6. Step 6: Final answer
    x = 72,859.50

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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.