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Finding the Fourth Proportional to 64,934.81, 97,411.96 and 22,807.47

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Solution

The fourth proportional to 64,934.81, 97,411.96 and 22,807.47 is: 34,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934.81 : 97,411.96 = 22,807.47 : x
  2. Step 2: Convert to fraction form
    64,934.81/97,411.96 = 22,807.47/x
  3. Step 3: Cross multiply
    64,934.81x = 97,411.96 × 22,807.47
  4. Step 4: Simplify right side
    64,934.81x = 2,221,720,298.32
  5. Step 5: Solve for x
    x = 2,221,720,298.32/64,934.81
  6. Step 6: Final answer
    x = 34,214.63

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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.