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Finding the Fourth Proportional to 46,814.60, 64,567.86 and 27,931.88

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Solution

The fourth proportional to 46,814.60, 64,567.86 and 27,931.88 is: 38,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,814.60 : 64,567.86 = 27,931.88 : x
  2. Step 2: Convert to fraction form
    46,814.60/64,567.86 = 27,931.88/x
  3. Step 3: Cross multiply
    46,814.60x = 64,567.86 × 27,931.88
  4. Step 4: Simplify right side
    46,814.60x = 1,803,501,717.38
  5. Step 5: Solve for x
    x = 1,803,501,717.38/46,814.60
  6. Step 6: Final answer
    x = 38,524.34

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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.