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Finding the Fourth Proportional to 55,762.60, 83,643.90 and 39,141.40

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Solution

The fourth proportional to 55,762.60, 83,643.90 and 39,141.40 is: 58,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,762.60 : 83,643.90 = 39,141.40 : x
  2. Step 2: Convert to fraction form
    55,762.60/83,643.90 = 39,141.40/x
  3. Step 3: Cross multiply
    55,762.60x = 83,643.90 × 39,141.40
  4. Step 4: Simplify right side
    55,762.60x = 3,273,939,347.46
  5. Step 5: Solve for x
    x = 3,273,939,347.46/55,762.60
  6. Step 6: Final answer
    x = 58,712.10

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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.