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Finding the Fourth Proportional to 46,448.64, 64,090.80 and 27,590.40

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Solution

The fourth proportional to 46,448.64, 64,090.80 and 27,590.40 is: 38,069.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,448.64 : 64,090.80 = 27,590.40 : x
  2. Step 2: Convert to fraction form
    46,448.64/64,090.80 = 27,590.40/x
  3. Step 3: Cross multiply
    46,448.64x = 64,090.80 × 27,590.40
  4. Step 4: Simplify right side
    46,448.64x = 1,768,290,808.32
  5. Step 5: Solve for x
    x = 1,768,290,808.32/46,448.64
  6. Step 6: Final answer
    x = 38,069.81

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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.