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Finding the Fourth Proportional to 46,718, 64,470.88 and 27,866.08

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Solution

The fourth proportional to 46,718, 64,470.88 and 27,866.08 is: 38,455.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,718 : 64,470.88 = 27,866.08 : x
  2. Step 2: Convert to fraction form
    46,718/64,470.88 = 27,866.08/x
  3. Step 3: Cross multiply
    46,718x = 64,470.88 × 27,866.08
  4. Step 4: Simplify right side
    46,718x = 1,796,550,699.75
  5. Step 5: Solve for x
    x = 1,796,550,699.75/46,718
  6. Step 6: Final answer
    x = 38,455.21

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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.