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Finding the Fourth Proportional to 64,934.47, 97,411.44 and 22,807.13

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Solution

The fourth proportional to 64,934.47, 97,411.44 and 22,807.13 is: 34,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,934.47 : 97,411.44 = 22,807.13 : x
  2. Step 2: Convert to fraction form
    64,934.47/97,411.44 = 22,807.13/x
  3. Step 3: Cross multiply
    64,934.47x = 97,411.44 × 22,807.13
  4. Step 4: Simplify right side
    64,934.47x = 2,221,674,941.96
  5. Step 5: Solve for x
    x = 2,221,674,941.96/64,934.47
  6. Step 6: Final answer
    x = 34,214.11

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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.