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Finding the Fourth Proportional to 98,312, 147,468.54 and 24,440

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Solution

The fourth proportional to 98,312, 147,468.54 and 24,440 is: 36,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,312 : 147,468.54 = 24,440 : x
  2. Step 2: Convert to fraction form
    98,312/147,468.54 = 24,440/x
  3. Step 3: Cross multiply
    98,312x = 147,468.54 × 24,440
  4. Step 4: Simplify right side
    98,312x = 3,604,131,117.60
  5. Step 5: Solve for x
    x = 3,604,131,117.60/98,312
  6. Step 6: Final answer
    x = 36,660.13

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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.