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Finding the Fourth Proportional to 45,972, 68,970.32 and 24,907.08

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Solution

The fourth proportional to 45,972, 68,970.32 and 24,907.08 is: 37,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,972 : 68,970.32 = 24,907.08 : x
  2. Step 2: Convert to fraction form
    45,972/68,970.32 = 24,907.08/x
  3. Step 3: Cross multiply
    45,972x = 68,970.32 × 24,907.08
  4. Step 4: Simplify right side
    45,972x = 1,717,849,277.87
  5. Step 5: Solve for x
    x = 1,717,849,277.87/45,972
  6. Step 6: Final answer
    x = 37,367.29

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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.