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Finding the Fourth Proportional to 46,752, 64,517.76 and 26,880

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Solution

The fourth proportional to 46,752, 64,517.76 and 26,880 is: 37,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,752 : 64,517.76 = 26,880 : x
  2. Step 2: Convert to fraction form
    46,752/64,517.76 = 26,880/x
  3. Step 3: Cross multiply
    46,752x = 64,517.76 × 26,880
  4. Step 4: Simplify right side
    46,752x = 1,734,237,388.80
  5. Step 5: Solve for x
    x = 1,734,237,388.80/46,752
  6. Step 6: Final answer
    x = 37,094.40

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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.