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Finding the Fourth Proportional to 65,013.40, 97,533.72 and 36,946.48

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Solution

The fourth proportional to 65,013.40, 97,533.72 and 36,946.48 is: 55,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.40 : 97,533.72 = 36,946.48 : x
  2. Step 2: Convert to fraction form
    65,013.40/97,533.72 = 36,946.48/x
  3. Step 3: Cross multiply
    65,013.40x = 97,533.72 × 36,946.48
  4. Step 4: Simplify right side
    65,013.40x = 3,603,527,635.31
  5. Step 5: Solve for x
    x = 3,603,527,635.31/65,013.40
  6. Step 6: Final answer
    x = 55,427.46

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1.5x scale

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.