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Finding the Fourth Proportional to 65,216.96, 97,737.84 and 35,590.40

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Solution

The fourth proportional to 65,216.96, 97,737.84 and 35,590.40 is: 53,337.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.96 : 97,737.84 = 35,590.40 : x
  2. Step 2: Convert to fraction form
    65,216.96/97,737.84 = 35,590.40/x
  3. Step 3: Cross multiply
    65,216.96x = 97,737.84 × 35,590.40
  4. Step 4: Simplify right side
    65,216.96x = 3,478,528,820.74
  5. Step 5: Solve for x
    x = 3,478,528,820.74/65,216.96
  6. Step 6: Final answer
    x = 53,337.79

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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.