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Finding the Fourth Proportional to 84,292.34, 116,326.76 and 48,482.28

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Solution

The fourth proportional to 84,292.34, 116,326.76 and 48,482.28 is: 66,907.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,292.34 : 116,326.76 = 48,482.28 : x
  2. Step 2: Convert to fraction form
    84,292.34/116,326.76 = 48,482.28/x
  3. Step 3: Cross multiply
    84,292.34x = 116,326.76 × 48,482.28
  4. Step 4: Simplify right side
    84,292.34x = 5,639,786,307.40
  5. Step 5: Solve for x
    x = 5,639,786,307.40/84,292.34
  6. Step 6: Final answer
    x = 66,907.46

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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.