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Finding the Fourth Proportional to 52,640.10, 78,973.14 and 37,088.10

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Solution

The fourth proportional to 52,640.10, 78,973.14 and 37,088.10 is: 55,641.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,640.10 : 78,973.14 = 37,088.10 : x
  2. Step 2: Convert to fraction form
    52,640.10/78,973.14 = 37,088.10/x
  3. Step 3: Cross multiply
    52,640.10x = 78,973.14 × 37,088.10
  4. Step 4: Simplify right side
    52,640.10x = 2,928,963,713.63
  5. Step 5: Solve for x
    x = 2,928,963,713.63/52,640.10
  6. Step 6: Final answer
    x = 55,641.30

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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.