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Finding the Fourth Proportional to 47,312.62, 70,973.03 and 17,335

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Solution

The fourth proportional to 47,312.62, 70,973.03 and 17,335 is: 26,004.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,312.62 : 70,973.03 = 17,335 : x
  2. Step 2: Convert to fraction form
    47,312.62/70,973.03 = 17,335/x
  3. Step 3: Cross multiply
    47,312.62x = 70,973.03 × 17,335
  4. Step 4: Simplify right side
    47,312.62x = 1,230,317,475.05
  5. Step 5: Solve for x
    x = 1,230,317,475.05/47,312.62
  6. Step 6: Final answer
    x = 26,004.00

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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.