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Finding the Fourth Proportional to 46,585, 64,292.16 and 26,447.32

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Solution

The fourth proportional to 46,585, 64,292.16 and 26,447.32 is: 36,500.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,585 : 64,292.16 = 26,447.32 : x
  2. Step 2: Convert to fraction form
    46,585/64,292.16 = 26,447.32/x
  3. Step 3: Cross multiply
    46,585x = 64,292.16 × 26,447.32
  4. Step 4: Simplify right side
    46,585x = 1,700,355,329.01
  5. Step 5: Solve for x
    x = 1,700,355,329.01/46,585
  6. Step 6: Final answer
    x = 36,500.06

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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.