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Finding the Fourth Proportional to 66,368.16, 99,569.24 and 22,007.30

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Solution

The fourth proportional to 66,368.16, 99,569.24 and 22,007.30 is: 33,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,368.16 : 99,569.24 = 22,007.30 : x
  2. Step 2: Convert to fraction form
    66,368.16/99,569.24 = 22,007.30/x
  3. Step 3: Cross multiply
    66,368.16x = 99,569.24 × 22,007.30
  4. Step 4: Simplify right side
    66,368.16x = 2,191,249,527.57
  5. Step 5: Solve for x
    x = 2,191,249,527.57/66,368.16
  6. Step 6: Final answer
    x = 33,016.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.