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Finding the Fourth Proportional to 47,465.87, 65,488.10 and 31,553.01

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Solution

The fourth proportional to 47,465.87, 65,488.10 and 31,553.01 is: 43,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,465.87 : 65,488.10 = 31,553.01 : x
  2. Step 2: Convert to fraction form
    47,465.87/65,488.10 = 31,553.01/x
  3. Step 3: Cross multiply
    47,465.87x = 65,488.10 × 31,553.01
  4. Step 4: Simplify right side
    47,465.87x = 2,066,346,516.42
  5. Step 5: Solve for x
    x = 2,066,346,516.42/47,465.87
  6. Step 6: Final answer
    x = 43,533.32

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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.