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Finding the Fourth Proportional to 92,259.20, 127,321.95 and 51,426

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Solution

The fourth proportional to 92,259.20, 127,321.95 and 51,426 is: 70,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,259.20 : 127,321.95 = 51,426 : x
  2. Step 2: Convert to fraction form
    92,259.20/127,321.95 = 51,426/x
  3. Step 3: Cross multiply
    92,259.20x = 127,321.95 × 51,426
  4. Step 4: Simplify right side
    92,259.20x = 6,547,658,600.70
  5. Step 5: Solve for x
    x = 6,547,658,600.70/92,259.20
  6. Step 6: Final answer
    x = 70,970.25

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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.