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Finding the Fourth Proportional to 82,657.77, 114,071.27 and 50,837.19

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Solution

The fourth proportional to 82,657.77, 114,071.27 and 50,837.19 is: 70,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,657.77 : 114,071.27 = 50,837.19 : x
  2. Step 2: Convert to fraction form
    82,657.77/114,071.27 = 50,837.19/x
  3. Step 3: Cross multiply
    82,657.77x = 114,071.27 × 50,837.19
  4. Step 4: Simplify right side
    82,657.77x = 5,799,062,572.35
  5. Step 5: Solve for x
    x = 5,799,062,572.35/82,657.77
  6. Step 6: Final answer
    x = 70,157.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.