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Finding the Fourth Proportional to 65,242.15, 90,032.64 and 38,386.39

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Solution

The fourth proportional to 65,242.15, 90,032.64 and 38,386.39 is: 52,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,242.15 : 90,032.64 = 38,386.39 : x
  2. Step 2: Convert to fraction form
    65,242.15/90,032.64 = 38,386.39/x
  3. Step 3: Cross multiply
    65,242.15x = 90,032.64 × 38,386.39
  4. Step 4: Simplify right side
    65,242.15x = 3,456,028,031.77
  5. Step 5: Solve for x
    x = 3,456,028,031.77/65,242.15
  6. Step 6: Final answer
    x = 52,972.32

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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.