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Finding the Fourth Proportional to 98,655.71, 148,005.47 and 46,036.49

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Solution

The fourth proportional to 98,655.71, 148,005.47 and 46,036.49 is: 69,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,655.71 : 148,005.47 = 46,036.49 : x
  2. Step 2: Convert to fraction form
    98,655.71/148,005.47 = 46,036.49/x
  3. Step 3: Cross multiply
    98,655.71x = 148,005.47 × 46,036.49
  4. Step 4: Simplify right side
    98,655.71x = 6,813,651,599.57
  5. Step 5: Solve for x
    x = 6,813,651,599.57/98,655.71
  6. Step 6: Final answer
    x = 69,064.95

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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.