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Finding the Fourth Proportional to 65,024.18, 89,733.48 and 35,216.18

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Solution

The fourth proportional to 65,024.18, 89,733.48 and 35,216.18 is: 48,598.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,024.18 : 89,733.48 = 35,216.18 : x
  2. Step 2: Convert to fraction form
    65,024.18/89,733.48 = 35,216.18/x
  3. Step 3: Cross multiply
    65,024.18x = 89,733.48 × 35,216.18
  4. Step 4: Simplify right side
    65,024.18x = 3,160,070,383.71
  5. Step 5: Solve for x
    x = 3,160,070,383.71/65,024.18
  6. Step 6: Final answer
    x = 48,598.39

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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.