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Finding the Fourth Proportional to 97,048.80, 145,513.80 and 37,816.20

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Solution

The fourth proportional to 97,048.80, 145,513.80 and 37,816.20 is: 56,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,048.80 : 145,513.80 = 37,816.20 : x
  2. Step 2: Convert to fraction form
    97,048.80/145,513.80 = 37,816.20/x
  3. Step 3: Cross multiply
    97,048.80x = 145,513.80 × 37,816.20
  4. Step 4: Simplify right side
    97,048.80x = 5,502,778,963.56
  5. Step 5: Solve for x
    x = 5,502,778,963.56/97,048.80
  6. Step 6: Final answer
    x = 56,701.15

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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.