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Finding the Fourth Proportional to 78,290.77, 108,069.28 and 46,459.66

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Solution

The fourth proportional to 78,290.77, 108,069.28 and 46,459.66 is: 64,130.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,290.77 : 108,069.28 = 46,459.66 : x
  2. Step 2: Convert to fraction form
    78,290.77/108,069.28 = 46,459.66/x
  3. Step 3: Cross multiply
    78,290.77x = 108,069.28 × 46,459.66
  4. Step 4: Simplify right side
    78,290.77x = 5,020,862,005.24
  5. Step 5: Solve for x
    x = 5,020,862,005.24/78,290.77
  6. Step 6: Final answer
    x = 64,130.96

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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.