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Finding the Fourth Proportional to 97,139.98, 145,623.53 and 37,962.19

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Solution

The fourth proportional to 97,139.98, 145,623.53 and 37,962.19 is: 56,909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,139.98 : 145,623.53 = 37,962.19 : x
  2. Step 2: Convert to fraction form
    97,139.98/145,623.53 = 37,962.19/x
  3. Step 3: Cross multiply
    97,139.98x = 145,623.53 × 37,962.19
  4. Step 4: Simplify right side
    97,139.98x = 5,528,187,924.52
  5. Step 5: Solve for x
    x = 5,528,187,924.52/97,139.98
  6. Step 6: Final answer
    x = 56,909.50

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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.