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Finding the Fourth Proportional to 101,955, 152,932.50 and 28,083

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Solution

The fourth proportional to 101,955, 152,932.50 and 28,083 is: 42,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,955 : 152,932.50 = 28,083 : x
  2. Step 2: Convert to fraction form
    101,955/152,932.50 = 28,083/x
  3. Step 3: Cross multiply
    101,955x = 152,932.50 × 28,083
  4. Step 4: Simplify right side
    101,955x = 4,294,803,397.50
  5. Step 5: Solve for x
    x = 4,294,803,397.50/101,955
  6. Step 6: Final answer
    x = 42,124.50

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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.