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Finding the Fourth Proportional to 78,417, 108,230.04 and 44,883

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Solution

The fourth proportional to 78,417, 108,230.04 and 44,883 is: 61,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,417 : 108,230.04 = 44,883 : x
  2. Step 2: Convert to fraction form
    78,417/108,230.04 = 44,883/x
  3. Step 3: Cross multiply
    78,417x = 108,230.04 × 44,883
  4. Step 4: Simplify right side
    78,417x = 4,857,688,885.32
  5. Step 5: Solve for x
    x = 4,857,688,885.32/78,417
  6. Step 6: Final answer
    x = 61,946.89

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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.