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Finding the Fourth Proportional to 65,013.90, 97,534.47 and 36,946.98

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Solution

The fourth proportional to 65,013.90, 97,534.47 and 36,946.98 is: 55,428.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.90 : 97,534.47 = 36,946.98 : x
  2. Step 2: Convert to fraction form
    65,013.90/97,534.47 = 36,946.98/x
  3. Step 3: Cross multiply
    65,013.90x = 97,534.47 × 36,946.98
  4. Step 4: Simplify right side
    65,013.90x = 3,603,604,112.40
  5. Step 5: Solve for x
    x = 3,603,604,112.40/65,013.90
  6. Step 6: Final answer
    x = 55,428.21

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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.