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Finding the Fourth Proportional to 65,123.80, 97,718.10 and 37,065.40

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Solution

The fourth proportional to 65,123.80, 97,718.10 and 37,065.40 is: 55,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,123.80 : 97,718.10 = 37,065.40 : x
  2. Step 2: Convert to fraction form
    65,123.80/97,718.10 = 37,065.40/x
  3. Step 3: Cross multiply
    65,123.80x = 97,718.10 × 37,065.40
  4. Step 4: Simplify right side
    65,123.80x = 3,621,960,463.74
  5. Step 5: Solve for x
    x = 3,621,960,463.74/65,123.80
  6. Step 6: Final answer
    x = 55,616.54

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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.