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Finding the Fourth Proportional to 75,708, 113,475.87 and 46,060.47

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Solution

The fourth proportional to 75,708, 113,475.87 and 46,060.47 is: 69,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,708 : 113,475.87 = 46,060.47 : x
  2. Step 2: Convert to fraction form
    75,708/113,475.87 = 46,060.47/x
  3. Step 3: Cross multiply
    75,708x = 113,475.87 × 46,060.47
  4. Step 4: Simplify right side
    75,708x = 5,226,751,905.86
  5. Step 5: Solve for x
    x = 5,226,751,905.86/75,708
  6. Step 6: Final answer
    x = 69,038.30

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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.