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Finding the Fourth Proportional to 46,654.58, 64,404.90 and 27,527.84

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Solution

The fourth proportional to 46,654.58, 64,404.90 and 27,527.84 is: 38,001.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,654.58 : 64,404.90 = 27,527.84 : x
  2. Step 2: Convert to fraction form
    46,654.58/64,404.90 = 27,527.84/x
  3. Step 3: Cross multiply
    46,654.58x = 64,404.90 × 27,527.84
  4. Step 4: Simplify right side
    46,654.58x = 1,772,927,782.42
  5. Step 5: Solve for x
    x = 1,772,927,782.42/46,654.58
  6. Step 6: Final answer
    x = 38,001.15

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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.