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Finding the Fourth Proportional to 52,807.71, 72,897.47 and 31,582.88

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Solution

The fourth proportional to 52,807.71, 72,897.47 and 31,582.88 is: 43,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,807.71 : 72,897.47 = 31,582.88 : x
  2. Step 2: Convert to fraction form
    52,807.71/72,897.47 = 31,582.88/x
  3. Step 3: Cross multiply
    52,807.71x = 72,897.47 × 31,582.88
  4. Step 4: Simplify right side
    52,807.71x = 2,302,311,524.91
  5. Step 5: Solve for x
    x = 2,302,311,524.91/52,807.71
  6. Step 6: Final answer
    x = 43,598.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.