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Finding the Fourth Proportional to 116,454.94, 174,662.14 and 37,569.16

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Solution

The fourth proportional to 116,454.94, 174,662.14 and 37,569.16 is: 56,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,454.94 : 174,662.14 = 37,569.16 : x
  2. Step 2: Convert to fraction form
    116,454.94/174,662.14 = 37,569.16/x
  3. Step 3: Cross multiply
    116,454.94x = 174,662.14 × 37,569.16
  4. Step 4: Simplify right side
    116,454.94x = 6,561,909,695.76
  5. Step 5: Solve for x
    x = 6,561,909,695.76/116,454.94
  6. Step 6: Final answer
    x = 56,347.20

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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.