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Finding the Fourth Proportional to 42,447, 63,670.50 and 13,263

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Solution

The fourth proportional to 42,447, 63,670.50 and 13,263 is: 19,894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,447 : 63,670.50 = 13,263 : x
  2. Step 2: Convert to fraction form
    42,447/63,670.50 = 13,263/x
  3. Step 3: Cross multiply
    42,447x = 63,670.50 × 13,263
  4. Step 4: Simplify right side
    42,447x = 844,461,841.50
  5. Step 5: Solve for x
    x = 844,461,841.50/42,447
  6. Step 6: Final answer
    x = 19,894.50

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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.