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Finding the Fourth Proportional to 76,275.54, 105,258.36 and 42,283.40

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Solution

The fourth proportional to 76,275.54, 105,258.36 and 42,283.40 is: 58,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,275.54 : 105,258.36 = 42,283.40 : x
  2. Step 2: Convert to fraction form
    76,275.54/105,258.36 = 42,283.40/x
  3. Step 3: Cross multiply
    76,275.54x = 105,258.36 × 42,283.40
  4. Step 4: Simplify right side
    76,275.54x = 4,450,681,339.22
  5. Step 5: Solve for x
    x = 4,450,681,339.22/76,275.54
  6. Step 6: Final answer
    x = 58,350.05

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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.