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Finding the Fourth Proportional to 46,320.48, 63,889.74 and 28,424.16

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Solution

The fourth proportional to 46,320.48, 63,889.74 and 28,424.16 is: 39,205.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,320.48 : 63,889.74 = 28,424.16 : x
  2. Step 2: Convert to fraction form
    46,320.48/63,889.74 = 28,424.16/x
  3. Step 3: Cross multiply
    46,320.48x = 63,889.74 × 28,424.16
  4. Step 4: Simplify right side
    46,320.48x = 1,816,012,192.12
  5. Step 5: Solve for x
    x = 1,816,012,192.12/46,320.48
  6. Step 6: Final answer
    x = 39,205.38

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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.