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Finding the Fourth Proportional to 92,328, 127,412.64 and 52,584

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Solution

The fourth proportional to 92,328, 127,412.64 and 52,584 is: 72,565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,328 : 127,412.64 = 52,584 : x
  2. Step 2: Convert to fraction form
    92,328/127,412.64 = 52,584/x
  3. Step 3: Cross multiply
    92,328x = 127,412.64 × 52,584
  4. Step 4: Simplify right side
    92,328x = 6,699,866,261.76
  5. Step 5: Solve for x
    x = 6,699,866,261.76/92,328
  6. Step 6: Final answer
    x = 72,565.92

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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.