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Finding the Fourth Proportional to 64,127.64, 96,210.90 and 30,838.26

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Solution

The fourth proportional to 64,127.64, 96,210.90 and 30,838.26 is: 46,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,127.64 : 96,210.90 = 30,838.26 : x
  2. Step 2: Convert to fraction form
    64,127.64/96,210.90 = 30,838.26/x
  3. Step 3: Cross multiply
    64,127.64x = 96,210.90 × 30,838.26
  4. Step 4: Simplify right side
    64,127.64x = 2,966,976,749.03
  5. Step 5: Solve for x
    x = 2,966,976,749.03/64,127.64
  6. Step 6: Final answer
    x = 46,266.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.