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Finding the Fourth Proportional to 101,714.50, 152,571.75 and 39,385

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Solution

The fourth proportional to 101,714.50, 152,571.75 and 39,385 is: 59,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,714.50 : 152,571.75 = 39,385 : x
  2. Step 2: Convert to fraction form
    101,714.50/152,571.75 = 39,385/x
  3. Step 3: Cross multiply
    101,714.50x = 152,571.75 × 39,385
  4. Step 4: Simplify right side
    101,714.50x = 6,009,038,373.75
  5. Step 5: Solve for x
    x = 6,009,038,373.75/101,714.50
  6. Step 6: Final answer
    x = 59,077.50

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1.5x scale

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.