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Finding the Fourth Proportional to 78,858.04, 118,287.06 and 46,003

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Solution

The fourth proportional to 78,858.04, 118,287.06 and 46,003 is: 69,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,858.04 : 118,287.06 = 46,003 : x
  2. Step 2: Convert to fraction form
    78,858.04/118,287.06 = 46,003/x
  3. Step 3: Cross multiply
    78,858.04x = 118,287.06 × 46,003
  4. Step 4: Simplify right side
    78,858.04x = 5,441,559,621.18
  5. Step 5: Solve for x
    x = 5,441,559,621.18/78,858.04
  6. Step 6: Final answer
    x = 69,004.50

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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.