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Finding the Fourth Proportional to 99,032.53, 148,643.12 and 61,478.95

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Solution

The fourth proportional to 99,032.53, 148,643.12 and 61,478.95 is: 92,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,032.53 : 148,643.12 = 61,478.95 : x
  2. Step 2: Convert to fraction form
    99,032.53/148,643.12 = 61,478.95/x
  3. Step 3: Cross multiply
    99,032.53x = 148,643.12 × 61,478.95
  4. Step 4: Simplify right side
    99,032.53x = 9,138,422,942.32
  5. Step 5: Solve for x
    x = 9,138,422,942.32/99,032.53
  6. Step 6: Final answer
    x = 92,276.98

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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.