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Finding the Fourth Proportional to 97,204.95, 145,807.41 and 23,332.95

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Solution

The fourth proportional to 97,204.95, 145,807.41 and 23,332.95 is: 34,999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,204.95 : 145,807.41 = 23,332.95 : x
  2. Step 2: Convert to fraction form
    97,204.95/145,807.41 = 23,332.95/x
  3. Step 3: Cross multiply
    97,204.95x = 145,807.41 × 23,332.95
  4. Step 4: Simplify right side
    97,204.95x = 3,402,117,007.16
  5. Step 5: Solve for x
    x = 3,402,117,007.16/97,204.95
  6. Step 6: Final answer
    x = 34,999.42

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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.