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Finding the Fourth Proportional to 78,068.63, 107,749.30 and 44,534.63

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Solution

The fourth proportional to 78,068.63, 107,749.30 and 44,534.63 is: 61,466.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,068.63 : 107,749.30 = 44,534.63 : x
  2. Step 2: Convert to fraction form
    78,068.63/107,749.30 = 44,534.63/x
  3. Step 3: Cross multiply
    78,068.63x = 107,749.30 × 44,534.63
  4. Step 4: Simplify right side
    78,068.63x = 4,798,574,558.18
  5. Step 5: Solve for x
    x = 4,798,574,558.18/78,068.63
  6. Step 6: Final answer
    x = 61,466.11

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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.