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Finding the Fourth Proportional to 52,952, 73,108.04 and 32,830.32

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Solution

The fourth proportional to 52,952, 73,108.04 and 32,830.32 is: 45,327.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952 : 73,108.04 = 32,830.32 : x
  2. Step 2: Convert to fraction form
    52,952/73,108.04 = 32,830.32/x
  3. Step 3: Cross multiply
    52,952x = 73,108.04 × 32,830.32
  4. Step 4: Simplify right side
    52,952x = 2,400,160,347.77
  5. Step 5: Solve for x
    x = 2,400,160,347.77/52,952
  6. Step 6: Final answer
    x = 45,327.10

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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.