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Finding the Fourth Proportional to 116,461.47, 174,737.57 and 46,347.87

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Solution

The fourth proportional to 116,461.47, 174,737.57 and 46,347.87 is: 69,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,461.47 : 174,737.57 = 46,347.87 : x
  2. Step 2: Convert to fraction form
    116,461.47/174,737.57 = 46,347.87/x
  3. Step 3: Cross multiply
    116,461.47x = 174,737.57 × 46,347.87
  4. Step 4: Simplify right side
    116,461.47x = 8,098,713,946.74
  5. Step 5: Solve for x
    x = 8,098,713,946.74/116,461.47
  6. Step 6: Final answer
    x = 69,539.86

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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.