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Finding the Fourth Proportional to 98,934.84, 148,421.16 and 39,775.32

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Solution

The fourth proportional to 98,934.84, 148,421.16 and 39,775.32 is: 59,670.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,934.84 : 148,421.16 = 39,775.32 : x
  2. Step 2: Convert to fraction form
    98,934.84/148,421.16 = 39,775.32/x
  3. Step 3: Cross multiply
    98,934.84x = 148,421.16 × 39,775.32
  4. Step 4: Simplify right side
    98,934.84x = 5,903,499,133.77
  5. Step 5: Solve for x
    x = 5,903,499,133.77/98,934.84
  6. Step 6: Final answer
    x = 59,670.58

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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.