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Finding the Fourth Proportional to 55,833.68, 77,051.22 and 30,683

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Solution

The fourth proportional to 55,833.68, 77,051.22 and 30,683 is: 42,342.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,833.68 : 77,051.22 = 30,683 : x
  2. Step 2: Convert to fraction form
    55,833.68/77,051.22 = 30,683/x
  3. Step 3: Cross multiply
    55,833.68x = 77,051.22 × 30,683
  4. Step 4: Simplify right side
    55,833.68x = 2,364,162,583.26
  5. Step 5: Solve for x
    x = 2,364,162,583.26/55,833.68
  6. Step 6: Final answer
    x = 42,342.95

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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.