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Finding the Fourth Proportional to 99,038.16, 136,672.84 and 54,326.48

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Solution

The fourth proportional to 99,038.16, 136,672.84 and 54,326.48 is: 74,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,038.16 : 136,672.84 = 54,326.48 : x
  2. Step 2: Convert to fraction form
    99,038.16/136,672.84 = 54,326.48/x
  3. Step 3: Cross multiply
    99,038.16x = 136,672.84 × 54,326.48
  4. Step 4: Simplify right side
    99,038.16x = 7,424,954,308.80
  5. Step 5: Solve for x
    x = 7,424,954,308.80/99,038.16
  6. Step 6: Final answer
    x = 74,970.64

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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.