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Finding the Fourth Proportional to 31,594.92, 47,368.95 and 14,935.48

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Solution

The fourth proportional to 31,594.92, 47,368.95 and 14,935.48 is: 22,392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,594.92 : 47,368.95 = 14,935.48 : x
  2. Step 2: Convert to fraction form
    31,594.92/47,368.95 = 14,935.48/x
  3. Step 3: Cross multiply
    31,594.92x = 47,368.95 × 14,935.48
  4. Step 4: Simplify right side
    31,594.92x = 707,478,005.35
  5. Step 5: Solve for x
    x = 707,478,005.35/31,594.92
  6. Step 6: Final answer
    x = 22,392.14

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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.