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Finding the Fourth Proportional to 46,482.48, 64,162.32 and 27,619.52

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Solution

The fourth proportional to 46,482.48, 64,162.32 and 27,619.52 is: 38,124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,482.48 : 64,162.32 = 27,619.52 : x
  2. Step 2: Convert to fraction form
    46,482.48/64,162.32 = 27,619.52/x
  3. Step 3: Cross multiply
    46,482.48x = 64,162.32 × 27,619.52
  4. Step 4: Simplify right side
    46,482.48x = 1,772,132,480.49
  5. Step 5: Solve for x
    x = 1,772,132,480.49/46,482.48
  6. Step 6: Final answer
    x = 38,124.74

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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.