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Finding the Fourth Proportional to 48,742.50, 67,264.74 and 26,386.50

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Solution

The fourth proportional to 48,742.50, 67,264.74 and 26,386.50 is: 36,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,742.50 : 67,264.74 = 26,386.50 : x
  2. Step 2: Convert to fraction form
    48,742.50/67,264.74 = 26,386.50/x
  3. Step 3: Cross multiply
    48,742.50x = 67,264.74 × 26,386.50
  4. Step 4: Simplify right side
    48,742.50x = 1,774,881,062.01
  5. Step 5: Solve for x
    x = 1,774,881,062.01/48,742.50
  6. Step 6: Final answer
    x = 36,413.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.