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Finding the Fourth Proportional to 107,323.84, 160,988.80 and 28,438.08

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Solution

The fourth proportional to 107,323.84, 160,988.80 and 28,438.08 is: 42,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,323.84 : 160,988.80 = 28,438.08 : x
  2. Step 2: Convert to fraction form
    107,323.84/160,988.80 = 28,438.08/x
  3. Step 3: Cross multiply
    107,323.84x = 160,988.80 × 28,438.08
  4. Step 4: Simplify right side
    107,323.84x = 4,578,212,373.50
  5. Step 5: Solve for x
    x = 4,578,212,373.50/107,323.84
  6. Step 6: Final answer
    x = 42,657.93

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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.