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Finding the Fourth Proportional to 84,281.30, 116,303 and 46,033.10

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Solution

The fourth proportional to 84,281.30, 116,303 and 46,033.10 is: 63,522.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,281.30 : 116,303 = 46,033.10 : x
  2. Step 2: Convert to fraction form
    84,281.30/116,303 = 46,033.10/x
  3. Step 3: Cross multiply
    84,281.30x = 116,303 × 46,033.10
  4. Step 4: Simplify right side
    84,281.30x = 5,353,787,629.30
  5. Step 5: Solve for x
    x = 5,353,787,629.30/84,281.30
  6. Step 6: Final answer
    x = 63,522.84

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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.