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Finding the Fourth Proportional to 76,358.29, 105,436.35 and 47,711.32

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Solution

The fourth proportional to 76,358.29, 105,436.35 and 47,711.32 is: 65,880.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,358.29 : 105,436.35 = 47,711.32 : x
  2. Step 2: Convert to fraction form
    76,358.29/105,436.35 = 47,711.32/x
  3. Step 3: Cross multiply
    76,358.29x = 105,436.35 × 47,711.32
  4. Step 4: Simplify right side
    76,358.29x = 5,030,507,434.48
  5. Step 5: Solve for x
    x = 5,030,507,434.48/76,358.29
  6. Step 6: Final answer
    x = 65,880.31

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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.