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Finding the Fourth Proportional to 70,585, 105,877.50 and 21,337

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Solution

The fourth proportional to 70,585, 105,877.50 and 21,337 is: 32,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,585 : 105,877.50 = 21,337 : x
  2. Step 2: Convert to fraction form
    70,585/105,877.50 = 21,337/x
  3. Step 3: Cross multiply
    70,585x = 105,877.50 × 21,337
  4. Step 4: Simplify right side
    70,585x = 2,259,108,217.50
  5. Step 5: Solve for x
    x = 2,259,108,217.50/70,585
  6. Step 6: Final answer
    x = 32,005.50

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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.