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Finding the Fourth Proportional to 75,281, 112,921.50 and 26,033

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Solution

The fourth proportional to 75,281, 112,921.50 and 26,033 is: 39,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,281 : 112,921.50 = 26,033 : x
  2. Step 2: Convert to fraction form
    75,281/112,921.50 = 26,033/x
  3. Step 3: Cross multiply
    75,281x = 112,921.50 × 26,033
  4. Step 4: Simplify right side
    75,281x = 2,939,685,409.50
  5. Step 5: Solve for x
    x = 2,939,685,409.50/75,281
  6. Step 6: Final answer
    x = 39,049.50

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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.