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Finding the Fourth Proportional to 46,465.30, 64,127.64 and 27,602.47

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Solution

The fourth proportional to 46,465.30, 64,127.64 and 27,602.47 is: 38,094.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,465.30 : 64,127.64 = 27,602.47 : x
  2. Step 2: Convert to fraction form
    46,465.30/64,127.64 = 27,602.47/x
  3. Step 3: Cross multiply
    46,465.30x = 64,127.64 × 27,602.47
  4. Step 4: Simplify right side
    46,465.30x = 1,770,081,259.27
  5. Step 5: Solve for x
    x = 1,770,081,259.27/46,465.30
  6. Step 6: Final answer
    x = 38,094.69

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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.