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Finding the Fourth Proportional to 46,584, 64,289.76 and 26,715.84

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Solution

The fourth proportional to 46,584, 64,289.76 and 26,715.84 is: 36,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,584 : 64,289.76 = 26,715.84 : x
  2. Step 2: Convert to fraction form
    46,584/64,289.76 = 26,715.84/x
  3. Step 3: Cross multiply
    46,584x = 64,289.76 × 26,715.84
  4. Step 4: Simplify right side
    46,584x = 1,717,554,941.80
  5. Step 5: Solve for x
    x = 1,717,554,941.80/46,584
  6. Step 6: Final answer
    x = 36,870.06

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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.