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Finding the Fourth Proportional to 76,436.39, 105,478.70 and 42,447.06

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Solution

The fourth proportional to 76,436.39, 105,478.70 and 42,447.06 is: 58,574.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,436.39 : 105,478.70 = 42,447.06 : x
  2. Step 2: Convert to fraction form
    76,436.39/105,478.70 = 42,447.06/x
  3. Step 3: Cross multiply
    76,436.39x = 105,478.70 × 42,447.06
  4. Step 4: Simplify right side
    76,436.39x = 4,477,260,495.39
  5. Step 5: Solve for x
    x = 4,477,260,495.39/76,436.39
  6. Step 6: Final answer
    x = 58,574.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.