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Finding the Fourth Proportional to 91,315, 136,972.55 and 28,985.50

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Solution

The fourth proportional to 91,315, 136,972.55 and 28,985.50 is: 43,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,315 : 136,972.55 = 28,985.50 : x
  2. Step 2: Convert to fraction form
    91,315/136,972.55 = 28,985.50/x
  3. Step 3: Cross multiply
    91,315x = 136,972.55 × 28,985.50
  4. Step 4: Simplify right side
    91,315x = 3,970,217,848.03
  5. Step 5: Solve for x
    x = 3,970,217,848.03/91,315
  6. Step 6: Final answer
    x = 43,478.27

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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.