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Finding the Fourth Proportional to 53,308, 73,565.04 and 30,952

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Solution

The fourth proportional to 53,308, 73,565.04 and 30,952 is: 42,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,308 : 73,565.04 = 30,952 : x
  2. Step 2: Convert to fraction form
    53,308/73,565.04 = 30,952/x
  3. Step 3: Cross multiply
    53,308x = 73,565.04 × 30,952
  4. Step 4: Simplify right side
    53,308x = 2,276,985,118.08
  5. Step 5: Solve for x
    x = 2,276,985,118.08/53,308
  6. Step 6: Final answer
    x = 42,713.76

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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.