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Finding the Fourth Proportional to 46,614.90, 64,303.29 and 27,748.38

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Solution

The fourth proportional to 46,614.90, 64,303.29 and 27,748.38 is: 38,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,614.90 : 64,303.29 = 27,748.38 : x
  2. Step 2: Convert to fraction form
    46,614.90/64,303.29 = 27,748.38/x
  3. Step 3: Cross multiply
    46,614.90x = 64,303.29 × 27,748.38
  4. Step 4: Simplify right side
    46,614.90x = 1,784,312,126.17
  5. Step 5: Solve for x
    x = 1,784,312,126.17/46,614.90
  6. Step 6: Final answer
    x = 38,277.72

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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.