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Finding the Fourth Proportional to 101,413.46, 152,106.68 and 26,527.64

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Solution

The fourth proportional to 101,413.46, 152,106.68 and 26,527.64 is: 39,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,413.46 : 152,106.68 = 26,527.64 : x
  2. Step 2: Convert to fraction form
    101,413.46/152,106.68 = 26,527.64/x
  3. Step 3: Cross multiply
    101,413.46x = 152,106.68 × 26,527.64
  4. Step 4: Simplify right side
    101,413.46x = 4,035,031,248.64
  5. Step 5: Solve for x
    x = 4,035,031,248.64/101,413.46
  6. Step 6: Final answer
    x = 39,787.93

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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.