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Finding the Fourth Proportional to 46,409.70, 64,071.63 and 32,090.52

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Solution

The fourth proportional to 46,409.70, 64,071.63 and 32,090.52 is: 44,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,409.70 : 64,071.63 = 32,090.52 : x
  2. Step 2: Convert to fraction form
    46,409.70/64,071.63 = 32,090.52/x
  3. Step 3: Cross multiply
    46,409.70x = 64,071.63 × 32,090.52
  4. Step 4: Simplify right side
    46,409.70x = 2,056,091,923.95
  5. Step 5: Solve for x
    x = 2,056,091,923.95/46,409.70
  6. Step 6: Final answer
    x = 44,303.06

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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.