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Finding the Fourth Proportional to 50,248, 75,373.44 and 13,312

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Solution

The fourth proportional to 50,248, 75,373.44 and 13,312 is: 19,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,248 : 75,373.44 = 13,312 : x
  2. Step 2: Convert to fraction form
    50,248/75,373.44 = 13,312/x
  3. Step 3: Cross multiply
    50,248x = 75,373.44 × 13,312
  4. Step 4: Simplify right side
    50,248x = 1,003,371,233.28
  5. Step 5: Solve for x
    x = 1,003,371,233.28/50,248
  6. Step 6: Final answer
    x = 19,968.38

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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.