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Finding the Fourth Proportional to 46,509.50, 64,352.14 and 40,553.58

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Solution

The fourth proportional to 46,509.50, 64,352.14 and 40,553.58 is: 56,111.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,509.50 : 64,352.14 = 40,553.58 : x
  2. Step 2: Convert to fraction form
    46,509.50/64,352.14 = 40,553.58/x
  3. Step 3: Cross multiply
    46,509.50x = 64,352.14 × 40,553.58
  4. Step 4: Simplify right side
    46,509.50x = 2,609,709,657.66
  5. Step 5: Solve for x
    x = 2,609,709,657.66/46,509.50
  6. Step 6: Final answer
    x = 56,111.32

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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.