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Finding the Fourth Proportional to 65,302.48, 97,920.91 and 30,266.74

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Solution

The fourth proportional to 65,302.48, 97,920.91 and 30,266.74 is: 45,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,302.48 : 97,920.91 = 30,266.74 : x
  2. Step 2: Convert to fraction form
    65,302.48/97,920.91 = 30,266.74/x
  3. Step 3: Cross multiply
    65,302.48x = 97,920.91 × 30,266.74
  4. Step 4: Simplify right side
    65,302.48x = 2,963,746,723.53
  5. Step 5: Solve for x
    x = 2,963,746,723.53/65,302.48
  6. Step 6: Final answer
    x = 45,384.90

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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.