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Finding the Fourth Proportional to 46,656.37, 64,384.50 and 25,435.63

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Solution

The fourth proportional to 46,656.37, 64,384.50 and 25,435.63 is: 35,100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.37 : 64,384.50 = 25,435.63 : x
  2. Step 2: Convert to fraction form
    46,656.37/64,384.50 = 25,435.63/x
  3. Step 3: Cross multiply
    46,656.37x = 64,384.50 × 25,435.63
  4. Step 4: Simplify right side
    46,656.37x = 1,637,660,319.74
  5. Step 5: Solve for x
    x = 1,637,660,319.74/46,656.37
  6. Step 6: Final answer
    x = 35,100.47

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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.