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Finding the Fourth Proportional to 97,151.22, 145,726.02 and 27,030.32

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Solution

The fourth proportional to 97,151.22, 145,726.02 and 27,030.32 is: 40,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,151.22 : 145,726.02 = 27,030.32 : x
  2. Step 2: Convert to fraction form
    97,151.22/145,726.02 = 27,030.32/x
  3. Step 3: Cross multiply
    97,151.22x = 145,726.02 × 27,030.32
  4. Step 4: Simplify right side
    97,151.22x = 3,939,020,952.93
  5. Step 5: Solve for x
    x = 3,939,020,952.93/97,151.22
  6. Step 6: Final answer
    x = 40,545.25

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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.