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Finding the Fourth Proportional to 77,866.68, 116,806.50 and 46,898.76

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Solution

The fourth proportional to 77,866.68, 116,806.50 and 46,898.76 is: 70,352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866.68 : 116,806.50 = 46,898.76 : x
  2. Step 2: Convert to fraction form
    77,866.68/116,806.50 = 46,898.76/x
  3. Step 3: Cross multiply
    77,866.68x = 116,806.50 × 46,898.76
  4. Step 4: Simplify right side
    77,866.68x = 5,478,080,009.94
  5. Step 5: Solve for x
    x = 5,478,080,009.94/77,866.68
  6. Step 6: Final answer
    x = 70,352.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.