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Finding the Fourth Proportional to 19,477.54, 29,216.32 and 5,437

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Solution

The fourth proportional to 19,477.54, 29,216.32 and 5,437 is: 8,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,477.54 : 29,216.32 = 5,437 : x
  2. Step 2: Convert to fraction form
    19,477.54/29,216.32 = 5,437/x
  3. Step 3: Cross multiply
    19,477.54x = 29,216.32 × 5,437
  4. Step 4: Simplify right side
    19,477.54x = 158,849,131.84
  5. Step 5: Solve for x
    x = 158,849,131.84/19,477.54
  6. Step 6: Final answer
    x = 8,155.50

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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.