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Finding the Fourth Proportional to 65,030.40, 97,472.70 and 36,963.90

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Solution

The fourth proportional to 65,030.40, 97,472.70 and 36,963.90 is: 55,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,030.40 : 97,472.70 = 36,963.90 : x
  2. Step 2: Convert to fraction form
    65,030.40/97,472.70 = 36,963.90/x
  3. Step 3: Cross multiply
    65,030.40x = 97,472.70 × 36,963.90
  4. Step 4: Simplify right side
    65,030.40x = 3,602,971,135.53
  5. Step 5: Solve for x
    x = 3,602,971,135.53/65,030.40
  6. Step 6: Final answer
    x = 55,404.41

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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.