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Finding the Fourth Proportional to 109,681.81, 164,417.62 and 46,414.91

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Solution

The fourth proportional to 109,681.81, 164,417.62 and 46,414.91 is: 69,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,681.81 : 164,417.62 = 46,414.91 : x
  2. Step 2: Convert to fraction form
    109,681.81/164,417.62 = 46,414.91/x
  3. Step 3: Cross multiply
    109,681.81x = 164,417.62 × 46,414.91
  4. Step 4: Simplify right side
    109,681.81x = 7,631,429,034.71
  5. Step 5: Solve for x
    x = 7,631,429,034.71/109,681.81
  6. Step 6: Final answer
    x = 69,577.89

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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.