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Finding the Fourth Proportional to 96,307.84, 132,907.92 and 53,866.32

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Solution

The fourth proportional to 96,307.84, 132,907.92 and 53,866.32 is: 74,337.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,307.84 : 132,907.92 = 53,866.32 : x
  2. Step 2: Convert to fraction form
    96,307.84/132,907.92 = 53,866.32/x
  3. Step 3: Cross multiply
    96,307.84x = 132,907.92 × 53,866.32
  4. Step 4: Simplify right side
    96,307.84x = 7,159,260,549.25
  5. Step 5: Solve for x
    x = 7,159,260,549.25/96,307.84
  6. Step 6: Final answer
    x = 74,337.26

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1.5x scale

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.