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Finding the Fourth Proportional to 65,038.16, 89,752.92 and 39,887.12

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Solution

The fourth proportional to 65,038.16, 89,752.92 and 39,887.12 is: 55,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,038.16 : 89,752.92 = 39,887.12 : x
  2. Step 2: Convert to fraction form
    65,038.16/89,752.92 = 39,887.12/x
  3. Step 3: Cross multiply
    65,038.16x = 89,752.92 × 39,887.12
  4. Step 4: Simplify right side
    65,038.16x = 3,579,985,490.39
  5. Step 5: Solve for x
    x = 3,579,985,490.39/65,038.16
  6. Step 6: Final answer
    x = 55,044.38

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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.