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Finding the Fourth Proportional to 82,742.40, 124,118.40 and 23,582.40

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Solution

The fourth proportional to 82,742.40, 124,118.40 and 23,582.40 is: 35,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,742.40 : 124,118.40 = 23,582.40 : x
  2. Step 2: Convert to fraction form
    82,742.40/124,118.40 = 23,582.40/x
  3. Step 3: Cross multiply
    82,742.40x = 124,118.40 × 23,582.40
  4. Step 4: Simplify right side
    82,742.40x = 2,927,009,756.16
  5. Step 5: Solve for x
    x = 2,927,009,756.16/82,742.40
  6. Step 6: Final answer
    x = 35,374.97

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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.