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Finding the Fourth Proportional to 78,210.88, 107,924.64 and 44,222.32

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Solution

The fourth proportional to 78,210.88, 107,924.64 and 44,222.32 is: 61,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210.88 : 107,924.64 = 44,222.32 : x
  2. Step 2: Convert to fraction form
    78,210.88/107,924.64 = 44,222.32/x
  3. Step 3: Cross multiply
    78,210.88x = 107,924.64 × 44,222.32
  4. Step 4: Simplify right side
    78,210.88x = 4,772,677,965.96
  5. Step 5: Solve for x
    x = 4,772,677,965.96/78,210.88
  6. Step 6: Final answer
    x = 61,023.20

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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.