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Finding the Fourth Proportional to 72,358.25, 108,547.92 and 22,442.40

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Solution

The fourth proportional to 72,358.25, 108,547.92 and 22,442.40 is: 33,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,358.25 : 108,547.92 = 22,442.40 : x
  2. Step 2: Convert to fraction form
    72,358.25/108,547.92 = 22,442.40/x
  3. Step 3: Cross multiply
    72,358.25x = 108,547.92 × 22,442.40
  4. Step 4: Simplify right side
    72,358.25x = 2,436,075,839.81
  5. Step 5: Solve for x
    x = 2,436,075,839.81/72,358.25
  6. Step 6: Final answer
    x = 33,666.87

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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.