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Finding the Fourth Proportional to 35,329.76, 53,000.40 and 10,700

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Solution

The fourth proportional to 35,329.76, 53,000.40 and 10,700 is: 16,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,329.76 : 53,000.40 = 10,700 : x
  2. Step 2: Convert to fraction form
    35,329.76/53,000.40 = 10,700/x
  3. Step 3: Cross multiply
    35,329.76x = 53,000.40 × 10,700
  4. Step 4: Simplify right side
    35,329.76x = 567,104,280
  5. Step 5: Solve for x
    x = 567,104,280/35,329.76
  6. Step 6: Final answer
    x = 16,051.74

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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.