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Finding the Fourth Proportional to 46,164, 63,706.32 and 26,292

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Solution

The fourth proportional to 46,164, 63,706.32 and 26,292 is: 36,282.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,164 : 63,706.32 = 26,292 : x
  2. Step 2: Convert to fraction form
    46,164/63,706.32 = 26,292/x
  3. Step 3: Cross multiply
    46,164x = 63,706.32 × 26,292
  4. Step 4: Simplify right side
    46,164x = 1,674,966,565.44
  5. Step 5: Solve for x
    x = 1,674,966,565.44/46,164
  6. Step 6: Final answer
    x = 36,282.96

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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.