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Finding the Fourth Proportional to 46,656, 64,387.84 and 26,785.28

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Solution

The fourth proportional to 46,656, 64,387.84 and 26,785.28 is: 36,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656 : 64,387.84 = 26,785.28 : x
  2. Step 2: Convert to fraction form
    46,656/64,387.84 = 26,785.28/x
  3. Step 3: Cross multiply
    46,656x = 64,387.84 × 26,785.28
  4. Step 4: Simplify right side
    46,656x = 1,724,646,323.00
  5. Step 5: Solve for x
    x = 1,724,646,323.00/46,656
  6. Step 6: Final answer
    x = 36,965.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.