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Finding the Fourth Proportional to 46,775.64, 64,466.88 and 35,418

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Solution

The fourth proportional to 46,775.64, 64,466.88 and 35,418 is: 48,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,775.64 : 64,466.88 = 35,418 : x
  2. Step 2: Convert to fraction form
    46,775.64/64,466.88 = 35,418/x
  3. Step 3: Cross multiply
    46,775.64x = 64,466.88 × 35,418
  4. Step 4: Simplify right side
    46,775.64x = 2,283,287,955.84
  5. Step 5: Solve for x
    x = 2,283,287,955.84/46,775.64
  6. Step 6: Final answer
    x = 48,813.61

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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.