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Finding the Fourth Proportional to 98,615.54, 147,931.52 and 42,457.03

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Solution

The fourth proportional to 98,615.54, 147,931.52 and 42,457.03 is: 63,689.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,615.54 : 147,931.52 = 42,457.03 : x
  2. Step 2: Convert to fraction form
    98,615.54/147,931.52 = 42,457.03/x
  3. Step 3: Cross multiply
    98,615.54x = 147,931.52 × 42,457.03
  4. Step 4: Simplify right side
    98,615.54x = 6,280,732,400.47
  5. Step 5: Solve for x
    x = 6,280,732,400.47/98,615.54
  6. Step 6: Final answer
    x = 63,689.07

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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.