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Finding the Fourth Proportional to 98,064.64, 147,098.58 and 47,434.24

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Solution

The fourth proportional to 98,064.64, 147,098.58 and 47,434.24 is: 71,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064.64 : 147,098.58 = 47,434.24 : x
  2. Step 2: Convert to fraction form
    98,064.64/147,098.58 = 47,434.24/x
  3. Step 3: Cross multiply
    98,064.64x = 147,098.58 × 47,434.24
  4. Step 4: Simplify right side
    98,064.64x = 6,977,509,347.38
  5. Step 5: Solve for x
    x = 6,977,509,347.38/98,064.64
  6. Step 6: Final answer
    x = 71,152.14

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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.