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Finding the Fourth Proportional to 78,301.56, 108,054.98 and 46,039.82

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Solution

The fourth proportional to 78,301.56, 108,054.98 and 46,039.82 is: 63,534.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,301.56 : 108,054.98 = 46,039.82 : x
  2. Step 2: Convert to fraction form
    78,301.56/108,054.98 = 46,039.82/x
  3. Step 3: Cross multiply
    78,301.56x = 108,054.98 × 46,039.82
  4. Step 4: Simplify right side
    78,301.56x = 4,974,831,829.30
  5. Step 5: Solve for x
    x = 4,974,831,829.30/78,301.56
  6. Step 6: Final answer
    x = 63,534.26

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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.