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Finding the Fourth Proportional to 46,699.10, 64,426.32 and 28,763

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Solution

The fourth proportional to 46,699.10, 64,426.32 and 28,763 is: 39,681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,699.10 : 64,426.32 = 28,763 : x
  2. Step 2: Convert to fraction form
    46,699.10/64,426.32 = 28,763/x
  3. Step 3: Cross multiply
    46,699.10x = 64,426.32 × 28,763
  4. Step 4: Simplify right side
    46,699.10x = 1,853,094,242.16
  5. Step 5: Solve for x
    x = 1,853,094,242.16/46,699.10
  6. Step 6: Final answer
    x = 39,681.58

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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.