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Finding the Fourth Proportional to 108,574, 162,829.76 and 37,478.16

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Solution

The fourth proportional to 108,574, 162,829.76 and 37,478.16 is: 56,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,574 : 162,829.76 = 37,478.16 : x
  2. Step 2: Convert to fraction form
    108,574/162,829.76 = 37,478.16/x
  3. Step 3: Cross multiply
    108,574x = 162,829.76 × 37,478.16
  4. Step 4: Simplify right side
    108,574x = 6,102,559,798.04
  5. Step 5: Solve for x
    x = 6,102,559,798.04/108,574
  6. Step 6: Final answer
    x = 56,206.46

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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.