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Finding the Fourth Proportional to 102,533.40, 153,800.10 and 47,129.40

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Solution

The fourth proportional to 102,533.40, 153,800.10 and 47,129.40 is: 70,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,533.40 : 153,800.10 = 47,129.40 : x
  2. Step 2: Convert to fraction form
    102,533.40/153,800.10 = 47,129.40/x
  3. Step 3: Cross multiply
    102,533.40x = 153,800.10 × 47,129.40
  4. Step 4: Simplify right side
    102,533.40x = 7,248,506,432.94
  5. Step 5: Solve for x
    x = 7,248,506,432.94/102,533.40
  6. Step 6: Final answer
    x = 70,694.10

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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.