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Finding the Fourth Proportional to 43,254, 59,690.52 and 23,382

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Solution

The fourth proportional to 43,254, 59,690.52 and 23,382 is: 32,267.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,254 : 59,690.52 = 23,382 : x
  2. Step 2: Convert to fraction form
    43,254/59,690.52 = 23,382/x
  3. Step 3: Cross multiply
    43,254x = 59,690.52 × 23,382
  4. Step 4: Simplify right side
    43,254x = 1,395,683,738.64
  5. Step 5: Solve for x
    x = 1,395,683,738.64/43,254
  6. Step 6: Final answer
    x = 32,267.16

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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.