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Finding the Fourth Proportional to 55,858.39, 77,080 and 32,884.57

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Solution

The fourth proportional to 55,858.39, 77,080 and 32,884.57 is: 45,378.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,858.39 : 77,080 = 32,884.57 : x
  2. Step 2: Convert to fraction form
    55,858.39/77,080 = 32,884.57/x
  3. Step 3: Cross multiply
    55,858.39x = 77,080 × 32,884.57
  4. Step 4: Simplify right side
    55,858.39x = 2,534,742,270.20
  5. Step 5: Solve for x
    x = 2,534,742,270.20/55,858.39
  6. Step 6: Final answer
    x = 45,378.00

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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.