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Finding the Fourth Proportional to 46,896.76, 70,284.12 and 35,762.50

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Solution

The fourth proportional to 46,896.76, 70,284.12 and 35,762.50 is: 53,597.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896.76 : 70,284.12 = 35,762.50 : x
  2. Step 2: Convert to fraction form
    46,896.76/70,284.12 = 35,762.50/x
  3. Step 3: Cross multiply
    46,896.76x = 70,284.12 × 35,762.50
  4. Step 4: Simplify right side
    46,896.76x = 2,513,535,841.50
  5. Step 5: Solve for x
    x = 2,513,535,841.50/46,896.76
  6. Step 6: Final answer
    x = 53,597.22

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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.