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Finding the Fourth Proportional to 94,111, 141,166.50 and 28,447

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Solution

The fourth proportional to 94,111, 141,166.50 and 28,447 is: 42,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,111 : 141,166.50 = 28,447 : x
  2. Step 2: Convert to fraction form
    94,111/141,166.50 = 28,447/x
  3. Step 3: Cross multiply
    94,111x = 141,166.50 × 28,447
  4. Step 4: Simplify right side
    94,111x = 4,015,763,425.50
  5. Step 5: Solve for x
    x = 4,015,763,425.50/94,111
  6. Step 6: Final answer
    x = 42,670.50

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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.