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Finding the Fourth Proportional to 47,145, 65,060.10 and 25,925.64

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Solution

The fourth proportional to 47,145, 65,060.10 and 25,925.64 is: 35,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,145 : 65,060.10 = 25,925.64 : x
  2. Step 2: Convert to fraction form
    47,145/65,060.10 = 25,925.64/x
  3. Step 3: Cross multiply
    47,145x = 65,060.10 × 25,925.64
  4. Step 4: Simplify right side
    47,145x = 1,686,724,730.96
  5. Step 5: Solve for x
    x = 1,686,724,730.96/47,145
  6. Step 6: Final answer
    x = 35,777.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.